Excess energy of an ultracold Fermi gas in a trapped geometry

Abstract

We have analytically explored finite size and interparticle interaction corrections to the average energy of a harmonically trapped Fermi gas below and above the Fermi temperature, and have obtained a better fitting for the excess energy reported by DeMarco and Jin [Science $\text{285}$, 1703 (1999)]. We have presented a perturbative calculation within a mean field approximation.

8 pages, 4 figures; Accepted in European Physical Journal D

References in corpus (7)

• Theory of ultracold Fermi gases
• Bose-Einstein condensation of chromium
• Vortices and Superfluidity in a Strongly Interacting Fermi Gas
• Exploring the Thermodynamics of a Universal Fermi Gas
• Thermodynamic Measurements in a Strongly Interacting Fermi Gas
• Thermodynamics of a Trapped Unitary Fermi Gas
• Universal thermodynamics of a strongly interacting Fermi gas: theory versus experiment

Cited by in corpus (6)

• Thermodynamics of quantum gases for the entire range of temperature
• Energy fluctuation and discontinuity of specific heat
• Finite-size effects on the cluster expansions for quantum gases in restricted geometries
• Artificial magnetism for a harmonically trapped Fermi gas in a synthetic magnetic field
• A proof to Biswas-Mitra-Bhattacharyya conjecture for ideal quantum gas trapped under generic power law potential $U={\sum }_{i=1}^d{c}_i|\frac{x_i}{a_i}{|}^{n_i}$ in $d$ dimension
• Scaling theory for the collapse of a trapped Bose gas in a synthetic magnetic field: a critical study at the condensation point