Thermodynamics of a trapped unitary Fermi gas

Details Thermodynamics of a trapped unitary Fermi gas Thermodynamics of a trapped unitary Fermi gas

2008-05-21

arxiv.org/abs/0805.3226v4

Phys. Rev. A 78, 063602 (2008)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 5 figures

Scientific paper

10.1103/PhysRevA.78.063602

Thermodynamic properties of an ultracold Fermi gas in a harmonic trap are calculated within a local density approximation, using a conserving many-body formalism for the BCS to BEC crossover problem, which has been developed by Haussmann et al. [Phys. Rev. A 75, 023610 (2007)]. We focus on the unitary regime near a Feshbach resonance and determine the local density and entropy profiles and the global entropy S(E) as a function of the total energy E. Our results are in good agreement with both experimental data and previous analytical and numerical results for the thermodynamics of the unitary Fermi gas. The value of the Bertsch parameter at T=0 and the superfluid transition temperature, however, differ appreciably. We show that, well in the superfluid regime, removal of atoms near the cloud edge enables cooling far below temperatures that have been reached so far.

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