2017-04-10_mg_dicke_init.ipynb

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   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "import sympy\n",
    "from sympy import Symbol, sqrt, cos, pi, symbols\n",
    "import numpy as np\n",
    "import matplotlib.pylab as plt\n",
    "\n",
    "import qnet\n",
    "from qnet.algebra import *\n",
    "\n",
    "import QDYN\n",
    "\n",
    "from notebook_plots import plot_bs_decay, display_hamiltonian, display_eq, show_summary_dicke\n",
    "from single_sided_network import network_slh\n",
    "from single_sided_node import node_slh\n",
    "from qdyn_model import make_qdyn_oct_model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "qnet.init_printing()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "$\n",
    "\\newcommand{ket}[1]{\\vert #1 \\rangle}\n",
    "\\newcommand{bra}[1]{\\langle #1 \\vert}\n",
    "\\newcommand{Op}[1]{\\hat{#1}}\n",
    "$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Optimized Initialization of a Dicke State"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## System description"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Description of a network node"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Each node of our network consists of a driven $\\Lambda$-type atom embedded in a cavity [@CiracPRL1997]. After adiabatic elimination of the $\\ket{r}$-state, the Hamiltonian and Lindblad operator of the node read"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
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    {
     "data": {
      "text/latex": [
       "\\begin{align}\n",
       "  \\hat{H} &= \\hat{H}_0 + \\hat{H}_{\\text{int}} + \\hat{H}_{1}\\\\\n",
       "  \\hat{H}_0 &= - \\frac{g_{1}^{2}}{\\Delta_{1}} \\hat{a}^{(c_{1})\\dagger} \\hat{a}^{(c_{1})}\\\\\n",
       "  \\hat{H}_{\\text{int}} &= \\frac{g_{1}^{2}}{\\Delta_{1}} \\hat{\\Pi}_{g}^{(q_{1})} \\otimes \\hat{a}^{(c_{1})\\dagger} \\hat{a}^{(c_{1})}\\\\\n",
       "  \\hat{H}_{1} &= - \\frac{i \\Omega_{1} g_{1}}{2 \\Delta_{1}} \\left(\\hat{\\sigma}_{e,g}^{(q_{1})} \\otimes \\hat{a}^{(c_{1})} - \\text{c.c.}\\right)\\\\\n",
       "\\end{align}"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "slh_node = node_slh(1, n_cavity=4)\n",
    "display_hamiltonian(slh_node.H)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "and"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "\\begin{equation}\n",
       "\\Op{L}  = \\begin{pmatrix}\\sqrt{2} \\sqrt{\\kappa} \\hat{a}^{(c_{1})}\\end{pmatrix}\n",
       "\\end{equation}"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display_eq('\\Op{L} ', slh_node.L)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "respectively."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Adding a coherent displacement feeding into the node additionally drives the cavity:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$- \\frac{i \\Omega_{1} g_{1}}{2 \\Delta_{1}} \\left(\\hat{\\sigma}_{e,g}^{(q_{1})} \\otimes \\hat{a}^{(c_{1})} - \\hat{\\sigma}_{g,e}^{(q_{1})} \\otimes \\hat{a}^{(c_{1})\\dagger}\\right) + \\frac{g_{1}^{2}}{\\Delta_{1}} \\hat{\\Pi}_{g}^{(q_{1})} \\otimes \\hat{a}^{(c_{1})\\dagger} \\hat{a}^{(c_{1})} + \\frac{i}{2} \\left(- \\lambda \\overline{\\Omega_{\\alpha}} \\hat{a}^{(c_{1})\\dagger} + \\Omega_{\\alpha} \\lambda \\hat{a}^{(c_{1})}\\right) - \\frac{g_{1}^{2}}{\\Delta_{1}} \\hat{a}^{(c_{1})\\dagger} \\hat{a}^{(c_{1})}$"
      ],
      "text/plain": [
       "-I*Ω_1*g_1/(2*Δ_1) * (σ̂_e,g^(q₁) ⊗ â^(c₁) - σ̂_g,e^(q₁) ⊗ â^(c₁)†) + g_1**2/Δ_1 * Π̂_g^(q₁) ⊗ â^(c₁)† â^(c₁) + I/2 * (-λ*conjugate(Ω_α) * â^(c₁)† + Ωₐₗₚₕₐ⋅λ * â^(c₁)) - g_1**2/Δ_1 * â^(c₁)† â^(c₁)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Ω_α, α = symbols('Omega_alpha alpha')\n",
    "κ = Symbol('kappa', positive=True); λ = Symbol('lambda', real=True)\n",
    "H_node_driven = (slh_node << qnet.cc.Displace('W', alpha=α)).toSLH().H.substitute(\n",
    "    {α: λ/sqrt(2*κ) * Ω_α.conjugate()})\n",
    "H_node_driven"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here, we have renormalized the displacement amplitude as $\\alpha \\rightarrow \\frac{\\lambda \\Omega_\\alpha^*}{\\sqrt{2 \\kappa}}$. The factor $\\sqrt{2\\kappa}$ ensures that $\\Omega_a$ is in units of energy, and the dimensionless $\\lambda = g_1 / \\Delta_1$ rescales $\\Omega_\\alpha$ have comparable amplitudes as $\\Omega_1$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It is instructive to write out this Hamiltonian in a matrix representation,"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "\\begin{equation}\n",
       "\\Op{H} = \\left[\\begin{matrix}0 & \\frac{i \\Omega_{\\alpha}}{2} \\lambda & 0 & 0 & 0 & 0 & 0 & 0\\\\- \\frac{i \\lambda}{2} \\overline{\\Omega_{\\alpha}} & 0 & \\frac{i \\Omega_{\\alpha}}{2} \\sqrt{2} \\lambda & 0 & \\frac{i \\Omega_{1} g_{1}}{2 \\Delta_{1}} & 0 & 0 & 0\\\\0 & - \\frac{i \\lambda}{2} \\sqrt{2} \\overline{\\Omega_{\\alpha}} & 0 & \\frac{i \\Omega_{\\alpha}}{2} \\sqrt{3} \\lambda & 0 & \\frac{\\sqrt{2} i \\Omega_{1} g_{1}}{2 \\Delta_{1}} & 0 & 0\\\\0 & 0 & - \\frac{i \\lambda}{2} \\sqrt{3} \\overline{\\Omega_{\\alpha}} & 0 & 0 & 0 & \\frac{\\sqrt{3} i \\Omega_{1} g_{1}}{2 \\Delta_{1}} & 0\\\\0 & - \\frac{i \\Omega_{1} g_{1}}{2 \\Delta_{1}} & 0 & 0 & 0 & \\frac{i \\Omega_{\\alpha}}{2} \\lambda & 0 & 0\\\\0 & 0 & - \\frac{\\sqrt{2} i \\Omega_{1} g_{1}}{2 \\Delta_{1}} & 0 & - \\frac{i \\lambda}{2} \\overline{\\Omega_{\\alpha}} & - \\frac{g_{1}^{2}}{\\Delta_{1}} & \\frac{i \\Omega_{\\alpha}}{2} \\sqrt{2} \\lambda & 0\\\\0 & 0 & 0 & - \\frac{\\sqrt{3} i \\Omega_{1} g_{1}}{2 \\Delta_{1}} & 0 & - \\frac{i \\lambda}{2} \\sqrt{2} \\overline{\\Omega_{\\alpha}} & - \\frac{2 g_{1}^{2}}{\\Delta_{1}} & \\frac{i \\Omega_{\\alpha}}{2} \\sqrt{3} \\lambda\\\\0 & 0 & 0 & 0 & 0 & 0 & - \\frac{i \\lambda}{2} \\sqrt{3} \\overline{\\Omega_{\\alpha}} & - \\frac{3 g_{1}^{2}}{\\Delta_{1}}\\end{matrix}\\right]\n",
       "\\end{equation}"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display_eq('\\Op{H}', qnet.convert.convert_to_sympy_matrix(H_node_driven))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "where the rows/colums correspond to the following quantum numbers:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "('g,0', 'g,1', 'g,2', 'g,3', 'e,0', 'e,1', 'e,2', 'e,3')"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "slh_node.H.space.basis_labels"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This illustrates how the static interaction Hamiltonian $\\Op{H}_{\\text{int}}$ acts to shift a subset of levels into resonance:\n",
    "* The driven sideband $\\ket{g, n+1} \\leftrightarrow \\ket{e, n}$ via the control $\\Omega_1$ is resonant only for $n=0$, but is detuned by $n \\frac{g^2}{\\Delta}$ for $n > 0$.\n",
    "* The driven excitation of the cavity $\\ket{g/e, n} \\leftrightarrow \\ket{g/e, n+1}$ via the control $\\Omega_{\\alpha}$ is resonant only for the ground state $\\ket{g}$ of the qubit, but is detuned by $n \\frac{g^2}{\\Delta}$ when the qubit is in the excited state $\\ket{e}$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Network of multiple nodes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We now consider `n_nodes` of the above nodes, with feedback through a beamsplitter"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "n_nodes = 2"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The cavity is truncated at"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "n_cavity = 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "slh = network_slh(n_cavity=n_cavity, n_nodes=n_nodes, topology='driven_bs_fb')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The Lindblad operator of the total network corresponds to the sum of Lindblad operators of the individual nodes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "\\begin{equation}\n",
       "\\Op{L} = \\begin{pmatrix}- \\frac{\\sqrt{2} \\sqrt{\\kappa} \\cos{\\left (\\theta \\right )}}{\\sin{\\left (\\theta \\right )} - 1} \\hat{a}^{(c_{1})} - \\frac{\\sqrt{2} \\sqrt{\\kappa} \\cos{\\left (\\theta \\right )}}{\\sin{\\left (\\theta \\right )} - 1} \\hat{a}^{(c_{2})}\\end{pmatrix}\n",
       "\\end{equation}"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display_eq('\\Op{L}', slh.L)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that this allows for constructive or destructive interference between the individual terms: The system is in a *dark state* if $\\bra{\\Psi} \\Op{L} \\ket{\\Psi} = 0$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The presence of the beamsplitter results in the decay rate depending on the mixing angle $\\theta$ of the beamsplitter"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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S6URyq1E2DzKzY83sTTP7r5ltEG07z8y6xBtPJNA8HpJ25a0bp5wCLVvCOeeE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\nvPl/SYlZxL7uEJ4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f23e666b588>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_bs_decay(slh.Ls[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\begin{pmatrix}\\mathbb{0}\\end{pmatrix}$"
      ],
      "text/plain": [
       "[[0]]"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "θ = Symbol('theta', real=True)\n",
    "slh.L.substitute({θ: 3*sympy.pi/2}).simplify_scalar()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The Hamiltonian of the entire network reads as"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "\\begin{align}\n",
       "  \\hat{H} &= \\hat{H}_0 + \\hat{H}_{\\text{int}} + \\hat{H}_{1} + \\hat{H}_{2} + \\hat{H}_{\\alpha}\\\\\n",
       "  \\hat{H}_0 &= - \\frac{g_{1}^{2}}{\\Delta_{1}} \\hat{a}^{(c_{1})\\dagger} \\hat{a}^{(c_{1})} - \\frac{g_{2}^{2}}{\\Delta_{2}} \\hat{a}^{(c_{2})\\dagger} \\hat{a}^{(c_{2})}\\\\\n",
       "  \\hat{H}_{\\text{int}} &= \\frac{g_{1}^{2}}{\\Delta_{1}} \\hat{\\Pi}_{g}^{(q_{1})} \\otimes \\hat{a}^{(c_{1})\\dagger} \\hat{a}^{(c_{1})} + \\left(i \\kappa \\hat{a}^{(c_{1})\\dagger} \\otimes \\hat{a}^{(c_{2})} + \\text{c.c.}\\right) + \\frac{g_{2}^{2}}{\\Delta_{2}} \\hat{\\Pi}_{g}^{(q_{2})} \\otimes \\hat{a}^{(c_{2})\\dagger} \\hat{a}^{(c_{2})}\\\\\n",
       "  \\hat{H}_{1} &= - \\frac{i \\Omega_{1} g_{1}}{2 \\Delta_{1}} \\left(\\hat{\\sigma}_{e,g}^{(q_{1})} \\otimes \\hat{a}^{(c_{1})} - \\text{c.c.}\\right)\\\\\n",
       "  \\hat{H}_{2} &= - \\frac{i \\Omega_{2} g_{2}}{2 \\Delta_{2}} \\left(\\hat{\\sigma}_{e,g}^{(q_{2})} \\otimes \\hat{a}^{(c_{2})} - \\text{c.c.}\\right)\\\\\n",
       "  \\hat{H}_{\\alpha} &= \\frac{\\sqrt{2} i g \\cos{\\left (\\theta \\right )} \\overline{\\Omega_{\\alpha}}}{2 \\Delta \\left(\\sin{\\left (\\theta \\right )} - 1\\right)} \\hat{a}^{(c_{1})\\dagger} - \\frac{\\sqrt{2} i \\Omega_{\\alpha} g \\cos{\\left (\\theta \\right )}}{2 \\Delta \\left(\\sin{\\left (\\theta \\right )} - 1\\right)} \\hat{a}^{(c_{1})} + \\frac{\\sqrt{2} i g \\cos{\\left (\\theta \\right )} \\overline{\\Omega_{\\alpha}}}{2 \\Delta \\left(\\sin{\\left (\\theta \\right )} - 1\\right)} \\hat{a}^{(c_{2})\\dagger} - \\frac{\\sqrt{2} i \\Omega_{\\alpha} g \\cos{\\left (\\theta \\right )}}{2 \\Delta \\left(\\sin{\\left (\\theta \\right )} - 1\\right)} \\hat{a}^{(c_{2})}\\\\\n",
       "\\end{align}"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display_hamiltonian(slh.H.substitute({λ: Symbol('g') / (Symbol('Delta')) }))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "\\begin{align}\n",
       "  \\hat{H} &= \\hat{H}_0 + \\hat{H}_{\\text{int}} + \\hat{H}_{1} + \\hat{H}_{2} + \\hat{H}_{\\alpha}\\\\\n",
       "  \\hat{H}_0 &= - \\frac{g_{1}^{2}}{\\Delta_{1}} \\hat{a}^{(c_{1})\\dagger} \\hat{a}^{(c_{1})} - \\frac{g_{2}^{2}}{\\Delta_{2}} \\hat{a}^{(c_{2})\\dagger} \\hat{a}^{(c_{2})}\\\\\n",
       "  \\hat{H}_{\\text{int}} &= \\frac{g_{1}^{2}}{\\Delta_{1}} \\hat{\\Pi}_{g}^{(q_{1})} \\otimes \\hat{a}^{(c_{1})\\dagger} \\hat{a}^{(c_{1})} + \\left(i \\kappa \\hat{a}^{(c_{1})\\dagger} \\otimes \\hat{a}^{(c_{2})} + \\text{c.c.}\\right) + \\frac{g_{2}^{2}}{\\Delta_{2}} \\hat{\\Pi}_{g}^{(q_{2})} \\otimes \\hat{a}^{(c_{2})\\dagger} \\hat{a}^{(c_{2})}\\\\\n",
       "  \\hat{H}_{1} &= - \\frac{i \\Omega_{1} g_{1}}{2 \\Delta_{1}} \\left(\\hat{\\sigma}_{e,g}^{(q_{1})} \\otimes \\hat{a}^{(c_{1})} - \\text{c.c.}\\right)\\\\\n",
       "  \\hat{H}_{2} &= - \\frac{i \\Omega_{2} g_{2}}{2 \\Delta_{2}} \\left(\\hat{\\sigma}_{e,g}^{(q_{2})} \\otimes \\hat{a}^{(c_{2})} - \\text{c.c.}\\right)\\\\\n",
       "  \\hat{H}_{\\alpha} &= - \\frac{\\sqrt{2} i g \\overline{\\Omega_{\\alpha}}}{2 \\Delta} \\hat{a}^{(c_{1})\\dagger} + \\frac{\\sqrt{2} i \\Omega_{\\alpha} g}{2 \\Delta} \\hat{a}^{(c_{1})} - \\frac{\\sqrt{2} i g \\overline{\\Omega_{\\alpha}}}{2 \\Delta} \\hat{a}^{(c_{2})\\dagger} + \\frac{\\sqrt{2} i \\Omega_{\\alpha} g}{2 \\Delta} \\hat{a}^{(c_{2})}\\\\\n",
       "\\end{align}"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display_hamiltonian(slh.H.substitute({λ: Symbol('g') / (Symbol('Delta')), θ:0}))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Dimensionless Units and Choice of Parameters"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "All of the symbols in the Hamiltonian (including the control fields) are in units of energy. In order to work with dimensionless numbers, we express these energies in units of $g$. This implies time units of $\\hbar/g$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The controls are"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAI8AAAAUBAMAAABG7HMgAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\nR6HlS18TTI0WSfT8Xf1R8h8x0+e8AWuvgYqNsfO1AAAAAElFTkSuQmCC\n",
      "text/latex": [
       "$$\\left [ \\Omega_{1}, \\quad \\Omega_{2}, \\quad \\Omega_{\\alpha}\\right ]$$"
      ],
      "text/plain": [
       "[Ω₁, Ω₂, Ωₐₗₚₕₐ]"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "control_syms = sorted([sym for sym in slh.H.all_symbols() if sym.name.startswith('Omega')], key=str)\n",
    "control_syms"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This leaves the remaining free symbols"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAMcAAAAVBAMAAAAA3efRAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAZpkQ3Ynvq81UMrtE\ndiLw+n06AAAACXBIWXMAAA7EAAAOxAGVKw4bAAADBUlEQVRIDbVVTWgTURD+tvnrbtckevAm2dpa\nC1KMRw+SaPVUtaGoF0EK3kSohfpzKeTiwdsKUiyCCYJQ8JBSD56EXCyoB4N68aKLBy+CjQatlmqc\nmfd2N+m2eupAdub7vpk3eW/2B4DRj+0zayTPi8dOSAsj0ijKRFI2Iw55ARvbCdiXGBpNIWuNQNNB\nlNmYsSk21gP65WEHGGaYmOQrhlriOi5RpkP8Rzjma9ZF0KJnGKom9u3vvqZ9lNmQsBX8IFMgNZ7F\nL+Ac56kmPZjyNV0cZbTwP7fiH/xu4GtXk+fIlbqro0y3viXqLWrpGKzunThIbhhKhDFH3i2GK3ej\nVCN90N+Asaay7HXsoJtAjitVJs52YfBQLAZiPjOxlNfMeaw4WNAAjBIHBjQs1Pd8ruo4pqebWr1+\nrQnkmJ5jMUU/Goq1v0iBmGYSnvwJoswWMu6DGS0LuoAbGlYeejqiP/pDhfEyMmWg1wEeycMyT3yO\nkFmkQEwzcc/6o4jkImoe7mhZ0GlmxAavvtcCrZirS5wpoeZSNEPnuFyl4Ar9eChhE83E62n9cNWy\neIugiaCTWKlTIdlR6JVpI6MZrgUKLobI9TLi4zBdCoxvHU0Cho9JLOdhKWyiECp50dJrSJa+qLxl\nr6cpUaGO3xTITBJFNRIaihfuhEciDOINCVEBP1r+cSmEU0qjV1Oy8UZiuqf4xiVL1nnp8GG8u5dt\n3JEmsZ8kBQwmaONlYgpeiqZDTURXKOEolFpE3C2J8CoLjElFT+OTR3XBEz/eFmupnRynMwgYw6H3\nwygl27Nni2onrCu0i3hGfS4ReQmfElXxuCI2MkBx2ISBmAze9DRi9wwvgPtC9DmqidIJ2SW7io7s\njlBVcFmwE1mDL+YkXRIcabNuzT8GSoSqoElijiLWBS3M38t3ZncUcoUyaaK/J8KkB1cbwBFfJ59s\nt5uIEZlo4QnwcXxWdIWm2u2u7LCQK7QNi7/pQ99n/cD3/I00p1+7GpPejfy8sDD8qtqXRTX7/aRt\n8Na+PPAX3InblhEV2U4AAAAASUVORK5CYII=\n",
      "text/latex": [
       "$$\\left\\{\\Delta_{1}, \\Delta_{2}, g_{1}, g_{2}, \\kappa, \\lambda, \\theta\\right\\}$$"
      ],
      "text/plain": [
       "set([Δ₁, Δ₂, g₁, g₂, κ, λ, θ])"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "syms = slh.all_symbols().difference(control_syms);\n",
    "syms"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "which we set as follows, with all nodes having identical parameters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAArUAAAAVBAMAAACqDQu1AAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\ngg==\n",
      "text/latex": [
       "$$\\left \\{ \\Delta_{1} : 100.0, \\quad \\Delta_{2} : 100.0, \\quad g_{1} : 1.0, \\quad g_{2} : 1.0, \\quad \\kappa : 0.01, \\quad \\lambda : 0.01, \\quad \\theta : 0.0\\right \\}$$"
      ],
      "text/plain": [
       "{Δ₁: 100.0, Δ₂: 100.0, g₁: 1.0, g₂: 1.0, κ: 0.01, λ: 0.01, θ: 0.0}"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Delta =   100.0\n",
    "g     =     1.0 # by definition\n",
    "kappa =     0.01\n",
    "E0    =     1.4\n",
    "theta = 0.0 * np.pi\n",
    "num_vals = {\n",
    "    Symbol('kappa', positive=True): kappa,\n",
    "    Symbol('theta', real=True):     theta,\n",
    "    Symbol('lambda', real=True): g / Delta,\n",
    "}\n",
    "for i_node in range(n_nodes):\n",
    "    num_vals[Symbol('Delta_%d' % (i_node + 1), real=True)] = Delta\n",
    "    num_vals[Symbol('g_%d' % (i_node + 1), positive=True)] = g\n",
    "num_vals"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In total, this leads to the following scalar coefficients in the Hamiltonian"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'-I*Omega_1*g_1/(2*Delta_1)': -0.005*I*Omega_1,\n",
       " '-I*Omega_2*g_2/(2*Delta_2)': -0.005*I*Omega_2,\n",
       " '-I*kappa': -0.01*I,\n",
       " '-g_1**2/Delta_1': -0.0100000000000000,\n",
       " '-g_2**2/Delta_2': -0.0100000000000000,\n",
       " '-sqrt(2)*I*Omega_alpha*lambda*cos(theta)/(2*sin(theta) - 2)': 0.005*sqrt(2)*I*Omega_alpha,\n",
       " 'I*Omega_1*g_1/(2*Delta_1)': 0.005*I*Omega_1,\n",
       " 'I*Omega_2*g_2/(2*Delta_2)': 0.005*I*Omega_2,\n",
       " 'I*kappa': 0.01*I,\n",
       " 'g_1**2/Delta_1': 0.0100000000000000,\n",
       " 'g_2**2/Delta_2': 0.0100000000000000,\n",
       " 'sqrt(2)*I*lambda*cos(theta)*conjugate(Omega_alpha)/(2*(sin(theta) - 1))': -0.005*sqrt(2)*I*conjugate(Omega_alpha)}"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "{str(t.coeff): t.coeff.subs(num_vals) for t in pattern(head=ScalarTimesOperator).findall(slh.H)}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Overview of the Protocol"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note that except for $\\Op{H}_{\\alpha}$, the Hamiltonian preserves excitations. We therefore propose a two-step protocol for the initialization of a Dicke state. Conceptually, for time $t < 0$, we used the cavity drive and local operation to excite the first $N/2$ qubits. Then, for $t > 0$, we exploit the channel-meditated interaction between the nodes to generate the entangled Dicke state, while keeping the system in a dark state in order to suppress dissipation."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The initialization step can be performed through the following steps:\n",
    "* Excite the cavity on each node by driving $\\Op{H}_{\\alpha}$\n",
    "* On the first $N/2$ nodes, drive the sideband transition to transfer the excitation to the qubit\n",
    "* Wait for the excitation in the second $N/2$ nodes to decay to the ground state"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Implementation of the initialization step"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Realization of pi pulses"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We build a guess for a initialization scheme on a series of Blackman pulses, where each pulse acting for a duration of $T$ with peak amplitude $E_0$ has the shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "\\begin{equation}\n",
       "B(t) = \\frac{E_{0}}{2} \\left(a \\cos{\\left (\\frac{4 \\pi}{T} t \\right )} - a - \\cos{\\left (\\frac{2 \\pi}{T} t \\right )} + 1\\right)\n",
       "\\end{equation}"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "a, b, E0, t, T, μ, t_π = sympy.symbols(\"a b E_0, t, T, mu, t_pi\", positive=True)\n",
    "B_form = (E0/2) * (1 - a - cos(2 * pi * t/T) + a * cos(4 * pi* t/T))\n",
    "display_eq('B(t)', B_form)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "with $a = 0.16$. This shape looks almost identical to a Gaussian with covering a $\\pm 3\\sigma$ interval in the window $T$, but unlike the Gaussian, the Blackman shape is exactly zero at 0 and $T$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "a_blackman = 0.16"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we assume that the pulse appears in the Hamiltonian with a prefactor $\\mu$, the effective pulse aread covered per unit $T$ is "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "\\begin{equation}\n",
       "\\Omega_{\\text{eff}} = \\frac{E_{0} \\mu}{2} \\left(- a + 1\\right)\n",
       "\\end{equation}"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Ωeff_form = μ * (sympy.integrate(B_form, (t, 0, T)) / T).simplify()\n",
    "display_eq(r'\\Omega_{\\text{eff}}', Ωeff_form)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Specifically, we have the following prefactors appear in the Hamiltonian:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def mu(ctrl_sym):\n",
    "    coeffs = [t.coeff for t in pattern(ScalarTimesOperator).findall(slh.H)\n",
    "              if ctrl_sym in t.all_symbols()]\n",
    "    return (abs(coeffs[0]) / abs(ctrl_sym)).subs(num_vals)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "assert control_syms[-1].name == 'Omega_alpha'\n",
    "assert control_syms[0].name == 'Omega_1'\n",
    "mu_alpha = mu(control_syms[-1])\n",
    "mu_1 = mu(control_syms[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAEwAAAAVBAMAAAAeOBUnAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA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\neDAAAAAASUVORK5CYII=\n",
      "text/latex": [
       "$$0.005 \\sqrt{2}$$"
      ],
      "text/plain": [
       "0.005⋅√2"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mu_alpha"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAC4AAAAOBAMAAACiOzMyAAAAMFBMVEX///8AAAAAAAAAAAAAAAAA\nAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAv3aB7AAAAD3RSTlMAEJmJZjLNVN0i77ur\nRHZ72Yd1AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAAxklEQVQYGVWPPw4BQRTGP7Mri7UhNKKxCr2C\nzgkUIk4wiUInjqDTKMQF1g1wgy1oxUkkG4mNwp8336zCFO+X35eZ9+YBtV4f5pAs8+pkAczQ2Jic\nZNl/7oC7g6MlJq1ML3LRj+ElkpNWYlFUYgTpj1aYt0IEb8lJK6dRB4i6yMsYSytHRFdEYZYb/sRf\n2vf/fQD1NHO9bK6XUsoazgv+AS7/aUgpaajE7KO09CFZFFCQZIXmOPewpBRDDGXh+u0MrDNStoM2\nvrOsTQE+Ugs2AAAAAElFTkSuQmCC\n",
      "text/latex": [
       "$$0.005$$"
      ],
      "text/plain": [
       "0.00500000000000000"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mu_1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In a two-level system (with zero detuning), this will lead to a population inversion in the time"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "\\begin{equation}\n",
       "t_{\\pi} = \\frac{\\pi}{E_{0} \\mu \\left(- a + 1\\right)}\n",
       "\\end{equation}"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "t_pi_form = pi / (2 * Ωeff_form).subs({1-a: b}) # protect 1-a, so sympy doesn't do weird signs\n",
    "display_eq(t_π, t_pi_form.subs({b: 1-a}))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Alternatively, for a fixed time $t_\\pi$, we have to choose the amplitude as"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "\\begin{equation}\n",
       "E_\\pi = \\frac{\\pi}{\\mu t_{\\pi} \\left(- a + 1\\right)}\n",
       "\\end{equation}"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "E_pi_form = sympy.solve(t_pi_form - t_π, E0)[0].subs({b: 1-a})\n",
    "display_eq('E_\\pi', E_pi_form)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def pi_pulse(tgrid, t_start, t_stop, mu, cycles=1):\n",
    "    E0 = sympy.N(E_pi_form.subs({t_π: t_stop-t_start, μ: mu, a: a_blackman}))\n",
    "    pulse = QDYN.pulse.Pulse(\n",
    "        tgrid, amplitude=(cycles * E0 * QDYN.pulse.blackman(tgrid, t_start, t_stop)),\n",
    "        time_unit='dimensionless', ampl_unit='dimensionless', freq_unit='dimensionless')\n",
    "    return pulse"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def zero_pulse(tgrid):\n",
    "    pulse = QDYN.pulse.Pulse(\n",
    "        tgrid, amplitude=(0.0 * tgrid),\n",
    "        time_unit='dimensionless', ampl_unit='dimensionless', freq_unit='dimensionless')\n",
    "    return pulse"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Guess pulse"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "def initialization_controls():\n",
    "    tgrid_start = -2000\n",
    "    tgrid_end =  0\n",
    "    nt = tgrid_end - tgrid_start + 1\n",
    "    tgrid = QDYN.pulse.pulse_tgrid(t0=tgrid_start, T=tgrid_end, nt=nt)\n",
    "    controls = {\n",
    "        Symbol('Omega_alpha'): pi_pulse(tgrid, t_start=-1500, t_stop=0, mu=float(mu_alpha), cycles=2),\n",
    "    }\n",
    "    pulse_sideband = pi_pulse(tgrid, t_start=-2000, t_stop=-500, mu=float(mu_1), cycles=2)\n",
    "    for ctrl_sym in [Symbol('Omega_%d' % ind) for ind in range(1, n_nodes+1)]:\n",
    "        controls[ctrl_sym] = pulse_sideband\n",
    "    return controls"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "initialization_model = make_qdyn_oct_model(\n",
    "    slh, num_vals, initialization_controls(), energy_unit='dimensionless',\n",
    "    mcwf=False, non_herm=False, oct_target='dicke_init_full',\n",
    "    lambda_a=1.0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "initialization_model.write_to_runfolder(\"./rf_init\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***** START OF PROGRAM qdyn_prop_traj ******\n",
      "Mon Apr 3 09:57:45 -0700 2017\n",
      "\n",
      "*** Read config file rf_init/config ***\n",
      "*** Done reading config file ***\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "*** Initializing system ***\n",
      "  *** Initializing grid ***\n",
      "  No explicit grid found in config file! Initializing grid as one dimensional 1x1 fake grid\n",
      "    Initializing grid as 1D cartesian grid without mapping\n",
      "      Number of grid points was set to nr = 1 for dimension dim = 1! Initializing dimension 1 as a 1x1 fake-grid...\n",
      "  *** Initializing pulses ***\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "  *** Initializing dynamical generator ***\n",
      "*** Done with initialization ***\n",
      "\n",
      "Completed traj 59/100 in proc 30/50\n",
      "Written jump record to rf_init/jump_record.dat.59\n",
      "Completed traj 13/100 in proc 7/50\n",
      "Written jump record to rf_init/jump_record.dat.13\n",
      "Completed traj 27/100 in proc 14/50\n",
      "Written jump record to rf_init/jump_record.dat.27\n",
      "Completed traj 61/100 in proc 31/50\n",
      "Written jump record to rf_init/jump_record.dat.61\n",
      "Completed traj 43/100 in proc 22/50\n",
      "Written jump record to rf_init/jump_record.dat.43\n",
      "Completed traj 11/100 in proc 6/50\n",
      "Written jump record to rf_init/jump_record.dat.11\n",
      "Completed traj 9/100 in proc 5/50\n",
      "Written jump record to rf_init/jump_record.dat.9\n",
      "Completed traj 79/100 in proc 40/50\n",
      "Written jump record to rf_init/jump_record.dat.79\n",
      "Completed traj 69/100 in proc 35/50\n",
      "Written jump record to rf_init/jump_record.dat.69\n",
      "Completed traj 91/100 in proc 46/50\n",
      "Written jump record to rf_init/jump_record.dat.91\n",
      "Completed traj 31/100 in proc 16/50\n",
      "Written jump record to rf_init/jump_record.dat.31\n",
      "Completed traj 37/100 in proc 19/50\n",
      "Written jump record to rf_init/jump_record.dat.37\n",
      "Completed traj 41/100 in proc 21/50\n",
      "Written jump record to rf_init/jump_record.dat.41\n",
      "Completed traj 5/100 in proc 3/50\n",
      "Written jump record to rf_init/jump_record.dat.5\n",
      "Completed traj 67/100 in proc 34/50\n",
      "Written jump record to rf_init/jump_record.dat.67\n",
      "Completed traj 45/100 in proc 23/50\n",
      "Written jump record to rf_init/jump_record.dat.45\n",
      "Completed traj 57/100 in proc 29/50\n",
      "Written jump record to rf_init/jump_record.dat.57\n",
      "Completed traj 53/100 in proc 27/50\n",
      "Written jump record to rf_init/jump_record.dat.53\n",
      "Completed traj 83/100 in proc 42/50\n",
      "Written jump record to rf_init/jump_record.dat.83\n",
      "Completed traj 47/100 in proc 24/50\n",
      "Written jump record to rf_init/jump_record.dat.47\n",
      "Completed traj 35/100 in proc 18/50\n",
      "Written jump record to rf_init/jump_record.dat.35\n",
      "Completed traj 87/100 in proc 44/50\n",
      "Written jump record to rf_init/jump_record.dat.87\n",
      "Completed traj 81/100 in proc 41/50\n",
      "Written jump record to rf_init/jump_record.dat.81\n",
      "Completed traj 15/100 in proc 8/50\n",
      "Written jump record to rf_init/jump_record.dat.15\n",
      "Completed traj 33/100 in proc 17/50\n",
      "Written jump record to rf_init/jump_record.dat.33\n",
      "Completed traj 95/100 in proc 48/50\n",
      "Written jump record to rf_init/jump_record.dat.95\n",
      "Completed traj 99/100 in proc 50/50\n",
      "Written jump record to rf_init/jump_record.dat.99\n",
      "Completed traj 7/100 in proc 4/50\n",
      "Written jump record to rf_init/jump_record.dat.7\n",
      "Completed traj 63/100 in proc 32/50\n",
      "Written jump record to rf_init/jump_record.dat.63\n",
      "Completed traj 23/100 in proc 12/50\n",
      "Written jump record to rf_init/jump_record.dat.23\n",
      "Completed traj 3/100 in proc 2/50\n",
      "Written jump record to rf_init/jump_record.dat.3\n",
      "Completed traj 51/100 in proc 26/50\n",
      "Written jump record to rf_init/jump_record.dat.51\n",
      "Completed traj 19/100 in proc 10/50\n",
      "Written jump record to rf_init/jump_record.dat.19\n",
      "Completed traj 65/100 in proc 33/50\n",
      "Written jump record to rf_init/jump_record.dat.65\n",
      "Completed traj 17/100 in proc 9/50\n",
      "Written jump record to rf_init/jump_record.dat.17\n",
      "Completed traj 49/100 in proc 25/50\n",
      "Written jump record to rf_init/jump_record.dat.49\n",
      "Completed traj 39/100 in proc 20/50\n",
      "Written jump record to rf_init/jump_record.dat.39\n",
      "Completed traj 71/100 in proc 36/50\n",
      "Written jump record to rf_init/jump_record.dat.71\n",
      "Completed traj 25/100 in proc 13/50\n",
      "Completed traj 97/100 in proc 49/50\n",
      "Written jump record to rf_init/jump_record.dat.97\n",
      "Completed traj 1/100 in proc 1/50\n",
      "Written jump record to rf_init/jump_record.dat.1\n",
      "Completed traj 85/100 in proc 43/50\n",
      "Written jump record to rf_init/jump_record.dat.85\n",
      "Completed traj 73/100 in proc 37/50\n",
      "Completed traj 89/100 in proc 45/50\n",
      "Completed traj 93/100 in proc 47/50\n",
      "Completed traj 21/100 in proc 11/50\n",
      "Written jump record to rf_init/jump_record.dat.21\n",
      "Completed traj 55/100 in proc 28/50\n",
      "Written jump record to rf_init/jump_record.dat.55\n",
      "Written jump record to rf_init/jump_record.dat.93\n",
      "Completed traj 29/100 in proc 15/50\n",
      "Completed traj 77/100 in proc 39/50\n",
      "Written jump record to rf_init/jump_record.dat.89\n",
      "Completed traj 75/100 in proc 38/50\n",
      "Written jump record to rf_init/jump_record.dat.77\n",
      "Written jump record to rf_init/jump_record.dat.29\n",
      "Written jump record to rf_init/jump_record.dat.75\n",
      "Written jump record to rf_init/jump_record.dat.73\n",
      "Written jump record to rf_init/jump_record.dat.25\n",
      "Completed traj 60/100 in proc 30/50\n",
      "Written jump record to rf_init/jump_record.dat.60\n",
      "Completed traj 14/100 in proc 7/50\n",
      "Written jump record to rf_init/jump_record.dat.14\n",
      "Completed traj 70/100 in proc 35/50\n",
      "Written jump record to rf_init/jump_record.dat.70\n",
      "Completed traj 62/100 in proc 31/50\n",
      "Written jump record to rf_init/jump_record.dat.62\n",
      "Completed traj 28/100 in proc 14/50\n",
      "Written jump record to rf_init/jump_record.dat.28\n",
      "Completed traj 38/100 in proc 19/50\n",
      "Written jump record to rf_init/jump_record.dat.38\n",
      "Completed traj 80/100 in proc 40/50\n",
      "Written jump record to rf_init/jump_record.dat.80\n",
      "Completed traj 6/100 in proc 3/50\n",
      "Written jump record to rf_init/jump_record.dat.6\n",
      "Completed traj 44/100 in proc 22/50\n",
      "Written jump record to rf_init/jump_record.dat.44\n",
      "Completed traj 68/100 in proc 34/50\n",
      "Written jump record to rf_init/jump_record.dat.68\n",
      "Completed traj 32/100 in proc 16/50\n",
      "Written jump record to rf_init/jump_record.dat.32\n",
      "Completed traj 12/100 in proc 6/50\n",
      "Written jump record to rf_init/jump_record.dat.12\n",
      "Completed traj 10/100 in proc 5/50\n",
      "Written jump record to rf_init/jump_record.dat.10\n",
      "Completed traj 84/100 in proc 42/50\n",
      "Written jump record to rf_init/jump_record.dat.84\n",
      "Completed traj 88/100 in proc 44/50\n",
      "Written jump record to rf_init/jump_record.dat.88\n",
      "Completed traj 54/100 in proc 27/50\n",
      "Written jump record to rf_init/jump_record.dat.54\n",
      "Completed traj 36/100 in proc 18/50\n",
      "Written jump record to rf_init/jump_record.dat.36\n",
      "Completed traj 92/100 in proc 46/50\n",
      "Written jump record to rf_init/jump_record.dat.92\n",
      "Completed traj 82/100 in proc 41/50\n",
      "Written jump record to rf_init/jump_record.dat.82\n",
      "Completed traj 42/100 in proc 21/50\n",
      "Written jump record to rf_init/jump_record.dat.42\n",
      "Completed traj 48/100 in proc 24/50\n",
      "Written jump record to rf_init/jump_record.dat.48\n",
      "Completed traj 46/100 in proc 23/50\n",
      "Written jump record to rf_init/jump_record.dat.46\n",
      "Completed traj 100/100 in proc 50/50\n",
      "Written jump record to rf_init/jump_record.dat.100\n",
      "Completed traj 8/100 in proc 4/50\n",
      "Written jump record to rf_init/jump_record.dat.8\n",
      "Completed traj 24/100 in proc 12/50\n",
      "Written jump record to rf_init/jump_record.dat.24\n",
      "Completed traj 58/100 in proc 29/50\n",
      "Written jump record to rf_init/jump_record.dat.58\n",
      "Completed traj 4/100 in proc 2/50\n",
      "Written jump record to rf_init/jump_record.dat.4\n",
      "Completed traj 16/100 in proc 8/50\n",
      "Written jump record to rf_init/jump_record.dat.16\n",
      "Completed traj 66/100 in proc 33/50\n",
      "Written jump record to rf_init/jump_record.dat.66\n",
      "Completed traj 52/100 in proc 26/50\n",
      "Written jump record to rf_init/jump_record.dat.52\n",
      "Completed traj 18/100 in proc 9/50\n",
      "Written jump record to rf_init/jump_record.dat.18\n",
      "Completed traj 50/100 in proc 25/50\n",
      "Written jump record to rf_init/jump_record.dat.50\n",
      "Completed traj 20/100 in proc 10/50\n",
      "Written jump record to rf_init/jump_record.dat.20\n",
      "Completed traj 96/100 in proc 48/50\n",
      "Written jump record to rf_init/jump_record.dat.96\n",
      "Completed traj 64/100 in proc 32/50\n",
      "Written jump record to rf_init/jump_record.dat.64\n",
      "Completed traj 98/100 in proc 49/50\n",
      "Written jump record to rf_init/jump_record.dat.98\n",
      "Completed traj 40/100 in proc 20/50\n",
      "Written jump record to rf_init/jump_record.dat.40\n",
      "Completed traj 34/100 in proc 17/50\n",
      "Written jump record to rf_init/jump_record.dat.34\n",
      "Completed traj 2/100 in proc 1/50\n",
      "Written jump record to rf_init/jump_record.dat.2\n",
      "Completed traj 72/100 in proc 36/50\n",
      "Written jump record to rf_init/jump_record.dat.72\n",
      "Completed traj 86/100 in proc 43/50\n",
      "Written jump record to rf_init/jump_record.dat.86\n",
      "Completed traj 56/100 in proc 28/50\n",
      "Written jump record to rf_init/jump_record.dat.56\n",
      "Completed traj 22/100 in proc 11/50\n",
      "Written jump record to rf_init/jump_record.dat.22\n",
      "Completed traj 94/100 in proc 47/50\n",
      "Completed traj 90/100 in proc 45/50\n",
      "Completed traj 76/100 in proc 38/50\n",
      "Completed traj 78/100 in proc 39/50\n",
      "Completed traj 26/100 in proc 13/50\n",
      "Written jump record to rf_init/jump_record.dat.94\n",
      "Completed traj 74/100 in proc 37/50\n",
      "Written jump record to rf_init/jump_record.dat.26\n",
      "Completed traj 30/100 in proc 15/50\n",
      "Written jump record to rf_init/jump_record.dat.74\n",
      "Written jump record to rf_init/jump_record.dat.90\n",
      "Written jump record to rf_init/jump_record.dat.30\n",
      "Written jump record to rf_init/jump_record.dat.76\n",
      "Written jump record to rf_init/jump_record.dat.78\n",
      "Waiting in proc 50/50\n",
      "Waiting in proc 46/50\n",
      "Waiting in proc 47/50\n",
      "Waiting in proc 49/50\n",
      "Waiting in proc 48/50\n",
      "Waiting in proc 43/50\n",
      "Waiting in proc 44/50\n",
      "Waiting in proc 45/50\n",
      "Waiting in proc 42/50\n",
      "Waiting in proc 39/50\n",
      "Waiting in proc 41/50\n",
      "Waiting in proc 30/50\n",
      "Waiting in proc 31/50\n",
      "Waiting in proc 27/50\n",
      "Waiting in proc 21/50\n",
      "Waiting in proc 33/50\n",
      "Waiting in proc 29/50\n",
      "Waiting in proc 36/50\n",
      "Waiting in proc 24/50\n",
      "Waiting in proc 26/50\n",
      "Waiting in proc 34/50\n",
      "Waiting in proc 28/50\n",
      "Waiting in proc 40/50\n",
      "Waiting in proc 35/50\n",
      "Waiting in proc 38/50\n",
      "Waiting in proc 25/50\n",
      "Waiting in proc 32/50\n",
      "Waiting in proc 37/50\n",
      "Waiting in proc 22/50\n",
      "Waiting in proc 23/50\n",
      "Waiting in proc 17/50\n",
      "Waiting in proc 20/50\n",
      "Waiting in proc 16/50\n",
      "Waiting in proc 18/50\n",
      "Waiting in proc 19/50\n",
      "Waiting in proc 13/50\n",
      "Waiting in proc 11/50\n",
      "Waiting in proc 14/50\n",
      "Waiting in proc 12/50\n",
      "Waiting in proc 15/50\n",
      "Waiting in proc 10/50\n",
      "Waiting in proc 9/50\n",
      "Waiting in proc 7/50\n",
      "Waiting in proc 8/50\n",
      "Waiting in proc 6/50\n",
      "Waiting in proc 5/50\n",
      "Waiting in proc 4/50\n",
      "Waiting in proc 3/50\n",
      "Waiting in proc 2/50\n",
      "Writing avg in proc 1/50\n",
      "\n",
      "Mon Apr 3 09:57:46 -0700 2017\n",
      "***** END OF PROGRAM qdyn_prop_traj ******\n"
     ]
    }
   ],
   "source": [
    "! mpirun -n 50 qdyn_prop_traj --n-trajs=100 --state-label=00 rf_init"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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0nweVgJKQ4Gy20rq120n8S5MmEBbmjA699lq307hri7qwQcmbf65qQIqIiIiI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jj7bP89REqvR/MeLLhxAeMGjOPTnz6l/dPtufOjO9mwq3zNBFpuKiDN7DYzW2NmGWY2y8y6l5D+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\npKc1OC0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f23e6550f98>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_summary_dicke('rf_init', pulses='pulse*.dat')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Optimization of initalization step"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "***** START OF PROGRAM qdyn_prop_traj ******\n",
      "Mon Apr 3 09:57:49 -0700 2017\n",
      "\n",
      "*** Read config file rf_init/config ***\n",
      "*** Done reading config file ***\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "*** Initializing system ***\n",
      "  *** Initializing grid ***\n",
      "  No explicit grid found in config file! Initializing grid as one dimensional 1x1 fake grid\n",
      "    Initializing grid as 1D cartesian grid without mapping\n",
      "      Number of grid points was set to nr = 1 for dimension dim = 1! Initializing dimension 1 as a 1x1 fake-grid...\n",
      "  *** Initializing pulses ***\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "    2 pulses in config file\n",
      "    Initializing pulse 1\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "    Initializing pulse 2\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "  *** Initializing dynamical generator ***\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "      setting pulse shape as flattop in [  -2.000E+03,   0.000E+00]\n",
      "      with t_rise =    2.000E+02, t_fall =    2.000E+02, baseline =   0.0000\n",
      "*** Done with initialization ***\n",
      "\n",
      "WARNING: OCT outfile rf_init/pulse1.oct.dat for pulse 1 does not exist. Propagating guess pulse.\n",
      "WARNING: OCT outfile rf_init/pulse2.oct.dat for pulse 2 does not exist. Propagating guess pulse.\n",
      "Completed traj 41/100 in proc 21/50\n",
      "Written jump record to rf_init/jump_record.dat.41\n",
      "Completed traj 57/100 in proc 29/50\n",
      "Written jump record to rf_init/jump_record.dat.57\n",
      "Completed traj 9/100 in proc 5/50\n",
      "Written jump record to rf_init/jump_record.dat.9\n",
      "Completed traj 59/100 in proc 30/50\n",
      "Written jump record to rf_init/jump_record.dat.59\n",
      "Completed traj 73/100 in proc 37/50\n",
      "Written jump record to rf_init/jump_record.dat.73\n",
      "Completed traj 91/100 in proc 46/50\n",
      "Written jump record to rf_init/jump_record.dat.91\n",
      "Completed traj 43/100 in proc 22/50\n",
      "Written jump record to rf_init/jump_record.dat.43\n",
      "Completed traj 89/100 in proc 45/50\n",
      "Written jump record to rf_init/jump_record.dat.89\n",
      "Completed traj 27/100 in proc 14/50\n",
      "Written jump record to rf_init/jump_record.dat.27\n",
      "Completed traj 95/100 in proc 48/50\n",
      "Written jump record to rf_init/jump_record.dat.95\n",
      "Completed traj 11/100 in proc 6/50\n",
      "Written jump record to rf_init/jump_record.dat.11\n",
      "Completed traj 15/100 in proc 8/50\n",
      "Written jump record to rf_init/jump_record.dat.15\n",
      "Completed traj 25/100 in proc 13/50\n",
      "Written jump record to rf_init/jump_record.dat.25\n",
      "Completed traj 79/100 in proc 40/50\n",
      "Written jump record to rf_init/jump_record.dat.79\n",
      "Completed traj 63/100 in proc 32/50\n",
      "Written jump record to rf_init/jump_record.dat.63\n",
      "Completed traj 75/100 in proc 38/50\n",
      "Written jump record to rf_init/jump_record.dat.75\n",
      "Completed traj 47/100 in proc 24/50\n",
      "Written jump record to rf_init/jump_record.dat.47\n",
      "Completed traj 31/100 in proc 16/50\n",
      "Written jump record to rf_init/jump_record.dat.31\n",
      "Completed traj 45/100 in proc 23/50\n",
      "Written jump record to rf_init/jump_record.dat.45\n",
      "Completed traj 93/100 in proc 47/50\n",
      "Written jump record to rf_init/jump_record.dat.93\n",
      "Completed traj 13/100 in proc 7/50\n",
      "Written jump record to rf_init/jump_record.dat.13\n",
      "Completed traj 29/100 in proc 15/50\n",
      "Written jump record to rf_init/jump_record.dat.29\n",
      "Completed traj 39/100 in proc 20/50\n",
      "Written jump record to rf_init/jump_record.dat.39\n",
      "Completed traj 17/100 in proc 9/50\n",
      "Written jump record to rf_init/jump_record.dat.17\n",
      "Completed traj 53/100 in proc 27/50\n",
      "Written jump record to rf_init/jump_record.dat.53\n",
      "Completed traj 61/100 in proc 31/50\n",
      "Written jump record to rf_init/jump_record.dat.61\n",
      "Completed traj 77/100 in proc 39/50\n",
      "Written jump record to rf_init/jump_record.dat.77\n",
      "Completed traj 67/100 in proc 34/50\n",
      "Written jump record to rf_init/jump_record.dat.67\n",
      "Completed traj 65/100 in proc 33/50\n",
      "Written jump record to rf_init/jump_record.dat.65\n",
      "Completed traj 71/100 in proc 36/50\n",
      "Written jump record to rf_init/jump_record.dat.71\n",
      "Completed traj 7/100 in proc 4/50\n",
      "Written jump record to rf_init/jump_record.dat.7\n",
      "Completed traj 69/100 in proc 35/50\n",
      "Written jump record to rf_init/jump_record.dat.69\n",
      "Completed traj 85/100 in proc 43/50\n",
      "Written jump record to rf_init/jump_record.dat.85\n",
      "Completed traj 5/100 in proc 3/50\n",
      "Written jump record to rf_init/jump_record.dat.5\n",
      "Completed traj 37/100 in proc 19/50\n",
      "Written jump record to rf_init/jump_record.dat.37\n",
      "Completed traj 55/100 in proc 28/50\n",
      "Written jump record to rf_init/jump_record.dat.55\n",
      "Completed traj 87/100 in proc 44/50\n",
      "Written jump record to rf_init/jump_record.dat.87\n",
      "Completed traj 49/100 in proc 25/50\n",
      "Written jump record to rf_init/jump_record.dat.49\n",
      "Completed traj 51/100 in proc 26/50\n",
      "Written jump record to rf_init/jump_record.dat.51\n",
      "Completed traj 83/100 in proc 42/50\n",
      "Written jump record to rf_init/jump_record.dat.83\n",
      "Completed traj 21/100 in proc 11/50\n",
      "Written jump record to rf_init/jump_record.dat.21\n",
      "Completed traj 1/100 in proc 1/50\n",
      "Written jump record to rf_init/jump_record.dat.1\n",
      "Completed traj 97/100 in proc 49/50\n",
      "Completed traj 19/100 in proc 10/50\n",
      "Written jump record to rf_init/jump_record.dat.19\n",
      "Completed traj 99/100 in proc 50/50\n",
      "Written jump record to rf_init/jump_record.dat.99\n",
      "Written jump record to rf_init/jump_record.dat.97\n",
      "Completed traj 23/100 in proc 12/50\n",
      "Written jump record to rf_init/jump_record.dat.23\n",
      "Completed traj 81/100 in proc 41/50\n",
      "Written jump record to rf_init/jump_record.dat.81\n",
      "Completed traj 35/100 in proc 18/50\n",
      "Written jump record to rf_init/jump_record.dat.35\n",
      "Completed traj 3/100 in proc 2/50\n",
      "Written jump record to rf_init/jump_record.dat.3\n",
      "Completed traj 33/100 in proc 17/50\n",
      "Written jump record to rf_init/jump_record.dat.33\n",
      "Completed traj 42/100 in proc 21/50\n",
      "Written jump record to rf_init/jump_record.dat.42\n",
      "Completed traj 58/100 in proc 29/50\n",
      "Written jump record to rf_init/jump_record.dat.58\n",
      "Completed traj 10/100 in proc 5/50\n",
      "Written jump record to rf_init/jump_record.dat.10\n",
      "Completed traj 60/100 in proc 30/50\n",
      "Written jump record to rf_init/jump_record.dat.60\n",
      "Completed traj 74/100 in proc 37/50\n",
      "Written jump record to rf_init/jump_record.dat.74\n",
      "Completed traj 92/100 in proc 46/50\n",
      "Written jump record to rf_init/jump_record.dat.92\n",
      "Completed traj 44/100 in proc 22/50\n",
      "Written jump record to rf_init/jump_record.dat.44\n",
      "Completed traj 90/100 in proc 45/50\n",
      "Written jump record to rf_init/jump_record.dat.90\n",
      "Completed traj 96/100 in proc 48/50\n",
      "Written jump record to rf_init/jump_record.dat.96\n",
      "Completed traj 28/100 in proc 14/50\n",
      "Written jump record to rf_init/jump_record.dat.28\n",
      "Completed traj 16/100 in proc 8/50\n",
      "Written jump record to rf_init/jump_record.dat.16\n",
      "Completed traj 80/100 in proc 40/50\n",
      "Written jump record to rf_init/jump_record.dat.80\n",
      "Completed traj 46/100 in proc 23/50\n",
      "Written jump record to rf_init/jump_record.dat.46\n",
      "Completed traj 12/100 in proc 6/50\n",
      "Written jump record to rf_init/jump_record.dat.12\n",
      "Completed traj 64/100 in proc 32/50\n",
      "Written jump record to rf_init/jump_record.dat.64\n",
      "Completed traj 40/100 in proc 20/50\n",
      "Written jump record to rf_init/jump_record.dat.40\n",
      "Completed traj 94/100 in proc 47/50\n",
      "Written jump record to rf_init/jump_record.dat.94\n",
      "Completed traj 48/100 in proc 24/50\n",
      "Written jump record to rf_init/jump_record.dat.48\n",
      "Completed traj 14/100 in proc 7/50\n",
      "Written jump record to rf_init/jump_record.dat.14\n",
      "Completed traj 32/100 in proc 16/50\n",
      "Written jump record to rf_init/jump_record.dat.32\n",
      "Completed traj 18/100 in proc 9/50\n",
      "Written jump record to rf_init/jump_record.dat.18\n",
      "Completed traj 30/100 in proc 15/50\n",
      "Written jump record to rf_init/jump_record.dat.30\n",
      "Completed traj 66/100 in proc 33/50\n",
      "Written jump record to rf_init/jump_record.dat.66\n",
      "Completed traj 54/100 in proc 27/50\n",
      "Written jump record to rf_init/jump_record.dat.54\n",
      "Completed traj 26/100 in proc 13/50\n",
      "Written jump record to rf_init/jump_record.dat.26\n",
      "Completed traj 68/100 in proc 34/50\n",
      "Written jump record to rf_init/jump_record.dat.68\n",
      "Completed traj 76/100 in proc 38/50\n",
      "Written jump record to rf_init/jump_record.dat.76\n",
      "Completed traj 72/100 in proc 36/50\n",
      "Written jump record to rf_init/jump_record.dat.72\n",
      "Completed traj 8/100 in proc 4/50\n",
      "Written jump record to rf_init/jump_record.dat.8\n",
      "Completed traj 70/100 in proc 35/50\n",
      "Written jump record to rf_init/jump_record.dat.70\n",
      "Completed traj 78/100 in proc 39/50\n",
      "Written jump record to rf_init/jump_record.dat.78\n",
      "Completed traj 86/100 in proc 43/50\n",
      "Written jump record to rf_init/jump_record.dat.86\n",
      "Completed traj 38/100 in proc 19/50\n",
      "Written jump record to rf_init/jump_record.dat.38\n",
      "Completed traj 62/100 in proc 31/50\n",
      "Written jump record to rf_init/jump_record.dat.62\n",
      "Completed traj 56/100 in proc 28/50\n",
      "Written jump record to rf_init/jump_record.dat.56\n",
      "Completed traj 6/100 in proc 3/50\n",
      "Written jump record to rf_init/jump_record.dat.6\n",
      "Completed traj 88/100 in proc 44/50\n",
      "Written jump record to rf_init/jump_record.dat.88\n",
      "Completed traj 50/100 in proc 25/50\n",
      "Written jump record to rf_init/jump_record.dat.50\n",
      "Completed traj 84/100 in proc 42/50\n",
      "Written jump record to rf_init/jump_record.dat.84\n",
      "Completed traj 52/100 in proc 26/50\n",
      "Written jump record to rf_init/jump_record.dat.52\n",
      "Completed traj 22/100 in proc 11/50\n",
      "Written jump record to rf_init/jump_record.dat.22\n",
      "Completed traj 100/100 in proc 50/50\n",
      "Written jump record to rf_init/jump_record.dat.100\n",
      "Completed traj 98/100 in proc 49/50\n",
      "Written jump record to rf_init/jump_record.dat.98\n",
      "Completed traj 2/100 in proc 1/50\n",
      "Written jump record to rf_init/jump_record.dat.2\n",
      "Completed traj 24/100 in proc 12/50\n",
      "Written jump record to rf_init/jump_record.dat.24\n",
      "Completed traj 20/100 in proc 10/50\n",
      "Written jump record to rf_init/jump_record.dat.20\n",
      "Completed traj 82/100 in proc 41/50\n",
      "Written jump record to rf_init/jump_record.dat.82\n",
      "Completed traj 36/100 in proc 18/50\n",
      "Written jump record to rf_init/jump_record.dat.36\n",
      "Completed traj 4/100 in proc 2/50\n",
      "Written jump record to rf_init/jump_record.dat.4\n",
      "Completed traj 34/100 in proc 17/50\n",
      "Written jump record to rf_init/jump_record.dat.34\n",
      "Waiting in proc 50/50\n",
      "Waiting in proc 46/50\n",
      "Waiting in proc 48/50\n",
      "Waiting in proc 49/50\n",
      "Waiting in proc 47/50\n",
      "Waiting in proc 45/50\n",
      "Waiting in proc 43/50\n",
      "Waiting in proc 44/50\n",
      "Waiting in proc 42/50\n",
      "Waiting in proc 40/50\n",
      "Waiting in proc 41/50\n",
      "Waiting in proc 39/50\n",
      "Waiting in proc 38/50\n",
      "Waiting in proc 35/50\n",
      "Waiting in proc 34/50\n",
      "Waiting in proc 32/50\n",
      "Waiting in proc 37/50\n",
      "Waiting in proc 36/50\n",
      "Waiting in proc 33/50\n",
      "Waiting in proc 31/50\n",
      "Waiting in proc 30/50\n",
      "Waiting in proc 26/50\n",
      "Waiting in proc 27/50\n",
      "Waiting in proc 28/50\n",
      "Waiting in proc 24/50\n",
      "Waiting in proc 25/50\n",
      "Waiting in proc 29/50\n",
      "Waiting in proc 23/50\n",
      "Waiting in proc 22/50\n",
      "Waiting in proc 20/50\n",
      "Waiting in proc 21/50\n",
      "Waiting in proc 17/50\n",
      "Waiting in proc 18/50\n",
      "Waiting in proc 16/50\n",
      "Waiting in proc 19/50\n",
      "Waiting in proc 14/50\n",
      "Waiting in proc 11/50\n",
      "Waiting in proc 12/50\n",
      "Waiting in proc 15/50\n",
      "Waiting in proc 13/50\n",
      "Waiting in proc 10/50\n",
      "Waiting in proc 9/50\n",
      "Waiting in proc 6/50\n",
      "Waiting in proc 7/50\n",
      "Waiting in proc 5/50\n",
      "Waiting in proc 4/50\n",
      "Waiting in proc 8/50\n",
      "Waiting in proc 3/50\n",
      "Waiting in proc 2/50\n",
      "Writing avg in proc 1/50\n",
      "\n",
      "Mon Apr 3 09:57:50 -0700 2017\n",
      "***** END OF PROGRAM qdyn_prop_traj ******\n"
     ]
    }
   ],
   "source": [
    "! mpirun -n 50 qdyn_prop_traj --n-trajs=100 --state-label=00 --use-oct-pulses rf_init"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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0nweVgJKQ4Gy20rq120n8S5MmEBbmjA699lq307hri7qwQcmbf65qQIqIiIiI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jj7bP89REqvR/MeLLhxAeMGjOPTnz6l/dPtufOjO9mwq3zNBFpuKiDN7DYzW2NmGWY2y8y6l5D+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\npKc1OC0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f23e6550748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "show_summary_dicke('rf_init', pulses='pulse*.dat')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Example optimization commands\n",
    "\n",
    "*   hilbert space optimization\n",
    "\n",
    "    ```OMP_NUM_THREADS=1 qdyn_optimize --internal-units=GHz_units.txt --debug --J_T=J_T_re .```\n",
    "\n",
    "*   trajectory optimization (model with `mcwf=True`)\n",
    "\n",
    "    ```OMP_NUM_THREADS=1 qdyn_optimize --internal-units=GHz_units.txt --n-trajs=20 --J_T=J_T_re .```"
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