Project description

The Quantum Monte Carlo algorithm allows the computation of observables on a chain of quantum spins. Quantum spins are modelled using the XXZ model. A further description is given in the articles assaad_evertz_world_line.pdf.

Directory structure

*ExactComputation

• contains script allowing the exact computation of the energy for a given chain up to eight spins.

• contains a script testloop.py allowing the computation using the loop algorithm to verify it.

• contains files .txt with the results of those computations

• structure_code

  • contains the localclass and the loopclass, two different Quantum Monte Carlo algorithms
  • check_loop_ergodicity.py verifies the ergodicity of the loop algorithm
  • show_loop_algorithm.ipynb contains an animation on the loop algorithm *config contains the parameter of a physical system, the monte carlo is there. *compute local is the code that made the data using local montecarlo

*oldcodes *former code, when we tried a local and periodic montecarlo

• report

  • contains the project report
  • contains the figures and the .tex file

• results *VaryM *contains scripts than compute the file .txt storing the result of long computation, compute_x=z=1_beta1.py and compute_x=1z=05_beta1.py *contains the file .txt QMCENERG *contains the scripts than show the graphs ThvsComp *loop_result.ipynb computes the autocorrelation graph *local_result contains graphs made with results of montecarlo using local loves

• documentation

  • contains documentation used along the project