Boltzmann equation simulation for a trapped Fermi gas of atoms

TL;DR

This paper presents a detailed numerical simulation approach for studying the dynamics of a trapped Fermi gas using the Boltzmann equation, focusing on interparticle interactions and collision modeling.

Contribution

It introduces a comprehensive setup for simulating Fermi gas oscillations and compares collision coordinate choices, showing microscopic details do not affect macroscopic results.

Findings

Exact microscopic collision setup does not influence macroscopic outcomes.

The simulation effectively models oscillations of spin-polarized fermionic clouds.

Different phase space coordinate choices yield consistent results.

Abstract

The dynamics of an interacting Fermi gas of atoms at sufficiently high temperatures can be efficiently studied via a numerical simulation of the Boltzmann equation. In this work we describe in detail the setup we used recently to study the oscillations of two spin-polarised fermionic clouds in a trap. We focus here on the evaluation of interparticle interactions. We compare different ways of choosing the phase space coordinates of a pair of atoms after a successful collision and demonstrate that the exact microscopic setup has no influence on the macroscopic outcome.