Low temperature thermodynamic properties of a polarized Fermi gas in a quartic trap

TL;DR

This paper derives analytical expressions for thermodynamic properties of a polarized Fermi gas in a quartic trap at low temperatures, using semi-classical and series expansion methods.

Contribution

It introduces a semi-classical and low-temperature series expansion approach to analyze thermodynamics in anharmonic traps, extending understanding beyond harmonic potentials.

Findings

Analytical formulas for energy, particle number, and heat capacity.

Differences in thermodynamic behavior for positive and negative anharmonic confinements.

Insights into low-temperature properties of polarized Fermi gases in quartic traps.

Abstract

We study low temperature thermodynamic properties of a polarized Fermi gas trapped in a quartic anharmonic potential. We use a semi classical approximation and a low temperature series expansion method to derive analytical expressions for various thermodynamic quantities. These quantities include the total energy, particle number, and heat capacity for both positive and negative anharmonic confinements.