so5-richardson-gaudin

Solves the Richardson-Gaudin equations for integrable SO(5) Hamiltonians.

Dependencies

Along with standard packages (numpy, scipy, pandas, matplotlib) included in the Anaconda distribution, this code requires the quspin package for exact-diagonalization. To install quspin (if you have Anaconda installed), run

conda install -c weinbe58 quspin

in your terminal.

You should also have the multiprocessing and concurrent packages installed.

Some of these scripts require a file named context.json containing a filepath for saving CSVs of results. Format is as follows:

{"results_filepath": "/path/to/your/folder"}

Usage

To solve the rational SO(5) model, run

python solve_rg_eqs.py

in your terminal and input the requested parameters. Recommended: L = 4, Ne = Nw = 2, G = 1, and dg = 0.01.

Files

solve_rg_eqs.py solves the Richardson-Gaudin equations and derive observables for the SO(5) RG models.

exact_diag.py performs exact diagonalization on the same Hamiltonians using QuSpin.

spectral_fun.py computes spectral functions using exact diagonalization.

utils.py contains small functions used in the other files.