Interacting Fermi gas in a Harmonic Trap
G. M. Bruun, K. Burnett
Abstract
In view of ongoing experiments to trap ultracold spin-polarized 6Li, we study various properties of an interacting Fermi gas in a harmonic trap taking the discrete nature of the unperturbed harmonic trap levels into account exactly. As 6Li has a rather large and negative scattering length, we focus on the effects of the attractive atom-atom interaction on several thermodynamic properties and on the momentum and density distributions. The dependence of the chemical potential, the specific heat and the density and momentum distributions on the number of particles in the trap is obtained. We also calculate the energy of the gas. Comparison is made with results of a semiclassical calculation and with the properties of a non-interacting gas. We find that the effect of the interactions is rather large for realistic trap frequencies. Hence, it is important to include these interactions in any quantitative predictions relevant for experiments.
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