Comparative study of the finite-temperature thermodynamics of a unitary Fermi gas

Abstract

We study the finite-temperature thermodynamics of a unitary Fermi gas. The chemical potential, energy density and entropy are given analytically with the quasi-linear approximation. The ground state energy agrees with previous theoretical and experimental results. Recently, the generalized exclusion statistics is applied to the discussion of the finite-temperature unitary Fermi gas thermodynamics. A concrete comparison between the two different approaches is performed. Emphasis is made on the behavior of the entropy per particle. In physics, the slope of entropy gives the information for the effective fermion mass $m^{\ast }/m$ in the low temperature strong degenerate region. Compared with $m^{\ast }/m\approx 0.70<1$ given in terms of the generalized exclusion statistics, our quasi-linear approximation determines $m^{\ast }/m\approx 1.11>1$.

7 pages; accepted for publication in Phys. Rev. A

References in corpus (4)

• Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
• Quantum Monte Carlo Simulations of the BCS-BEC Crossover at Finite Temperature
• Quantum rearrangement and self-consistent BCS-BEC crossover thermodynamics
• The virial equation of state for unitary fermion thermodynamics with non-Gaussian correlations

Cited by in corpus (1)

• Three-dimensional correlated-fermion phase separation from analysis of the geometric mean of the individual susceptibilities