qlinks: Quantum link model

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Documentation |

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Quantum link model

Installation

1. Install the package from PyPI:

pip install qlinks

2. Install the package from source:

poetry install --all-extras

3. Docker

docker pull tanlin2013/qlinks:main

Getting started

1. Enumeration of the Basis

We implement the depth-first search (backtracking) algorithm to enumerate all basis satisfying the Gauss law.

from qlinks.symmetry.gauss_law import GaussLaw

lattice_shape = (4, 2)
gauss_law = GaussLaw.from_staggered_charge_distri(*lattice_shape, flux_sector=(0, 0))
basis = gauss_law.solve()

2. Easy construction of the Hamiltonian

from qlinks.model.quantum_link_model import QuantumLinkModel

coup_j, coup_rk = (1.0, 1.0)
model = QuantumLinkModel(coup_j, coup_rk, lattice_shape, basis)
ham = model.hamiltonian.todense()

The Hamiltonian is a scipy sparse matrix, but we can convert it to a dense matrix for small systems.

License

© Tan Tao-Lin, 2023. Licensed under a MIT license.