two-dimensional-gasses

We study lattice-field-theory-style Monte Carlo calculations of attractive fermionic gasses in two dimensions.

We offer three pieces,

• A LaTeX document describing our formalism, ideas, and algorithms,
• A Mathematica package TDG that constructs the two-body A1-projected Hamiltonian and uses the Lüscher quantization condition to tune Hamiltonian parameters to the desired scattering data / effective range expansion. This functionality is also available in
• A python package tdg which can be used for quantum many-body simulations. tdg is built on pytorch. Torch is leveraged for GPU calculations, automatic differentiation, and its machine-learning capabilities.

In addition to answering interesting questions about the physics of two-dimensional cold atom traps, we hope to provide a completely open end-to-end physics workflow for FAIR research.