Thermodynamic properties of a dipolar Fermi gas

TL;DR

This paper investigates the thermodynamic properties of a dipolar Fermi gas using semi-classical theory, revealing how temperature affects phase space deformation, and provides analytical and numerical results for pressure, entropy, and stability.

Contribution

It introduces a self-consistent numerical method to analyze thermodynamics of dipolar Fermi gases and derives an analytical entropy expression at low temperatures.

Findings

Deformations in momentum and real space decrease with increasing temperature

Calculated pressure, entropy, and heat capacity for the homogeneous case

Derived an analytical entropy expression at low temperatures and weak interactions

Abstract

Based on the semi-classical theory, we investigate the thermodynamic properties of a dipolar Fermi gas. Through a self-consistent procedure, we numerically obtain the phase space distribution function at finite temperature. We show that the deformations in both momentum and real space becomes smaller and smaller as one increases the temperature. For homogeneous case, we also calculate pressure, entropy, and heat capacity. In particular, at low temperature limit and in weak interaction regime, we obtain an analytic expression for the entropy, which agrees qualitatively with our numerical result. The stability of a trapped gas at finite temperature is also explored.