Thermodynamics of a trapped unitary Fermi gas

TL;DR

This paper calculates the thermodynamic properties of a trapped unitary Fermi gas using a many-body formalism, providing insights into density, entropy profiles, and cooling methods near superfluid transition.

Contribution

It applies a conserving many-body formalism to the BCS-BEC crossover in a trapped Fermi gas, focusing on the unitary regime and comparing with experimental data.

Findings

Good agreement with experimental thermodynamic data

Differences in Bertsch parameter and transition temperature

Potential for deep cooling by atom removal at the cloud edge

Abstract

Thermodynamic properties of an ultracold Fermi gas in a harmonic trap are calculated within a local density approximation, using a conserving many-body formalism for the BCS to BEC crossover problem, which has been developed by Haussmann et al. [Phys. Rev. A 75, 023610 (2007)]. We focus on the unitary regime near a Feshbach resonance and determine the local density and entropy profiles and the global entropy S(E) as a function of the total energy E. Our results are in good agreement with both experimental data and previous analytical and numerical results for the thermodynamics of the unitary Fermi gas. The value of the Bertsch parameter at T=0 and the superfluid transition temperature, however, differ appreciably. We show that, well in the superfluid regime, removal of atoms near the cloud edge enables cooling far below temperatures that have been reached so far.