Fermions at unitarity and Haldane Exclusion Statistics

TL;DR

This paper models ultra-cold fermionic gases at unitarity using Haldane-Wu fractional exclusion statistics, successfully matching Monte Carlo simulations and experimental data for both trapped and untrapped systems.

Contribution

It introduces a novel approach applying fractional exclusion statistics to describe strongly interacting fermionic gases at unitarity.

Findings

Results align with Monte Carlo calculations for untrapped gases.

Results agree with experimental data for trapped gases.

The model accurately predicts chemical potential and energy variations.

Abstract

We consider a gas of neutral fermionic atoms at ultra-low temperatures, with the attractive interaction tuned to Feshbach resonance. We calculate, the variation of the chemical potential and the energy per particle as a function of temperature by assuming the system to be an ideal gas obeying the Haldane-Wu fractional exclusion statistics. Our results for the untrapped gas compare favourably with the recently published Monte Carlo calculations of two groups. For a harmonically trapped gas, the results agree with experiment, and also with other published work.