Numerical study of the unitary Fermi gas across the superfluid transition

TL;DR

This paper uses Monte Carlo simulations to study the thermodynamic properties of a three-dimensional unitary Fermi gas across the superfluid transition, focusing on temperature dependence and numerical accuracy.

Contribution

It provides a detailed numerical analysis of the unitary Fermi gas across the superfluid transition, including systematic studies of finite volume and discretization effects.

Findings

Temperature dependence of chemical potential and energy per particle

Quantitative estimates of contact density across the transition

Reduction of numerical artifacts in Monte Carlo calculations

Abstract

We present results from Monte Carlo calculations investigating the properties of the homogeneous, spin-balanced unitary Fermi gas in three dimensions. The temperature is varied across the superfluid transition allowing us to determine the temperature dependence of the chemical potential, the energy per particle and the contact density. Numerical artifacts due to finite volume and discretization are systematically studied, estimated, and reduced.