Temperature of a trapped unitary Fermi gas at finite entropy

Details Temperature of a trapped unitary Fermi gas at finite entropy Temperature of a trapped unitary Fermi gas at finite entropy

2005-09-11

arxiv.org/abs/cond-mat/0509274v2

Phys. Rev. A 73, 023617 (2006)

Physics

Condensed Matter

Superconductivity

5 pages, and 4 figures; Published version in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.73.023617

We present theoretical predictions for the equation of state of a harmonically-trapped Fermi gas in the unitary limit. Our calculations rest on a study of the equation of state of a uniform gas using three distinct perturbation schemes, compared to Monte-Carlo results. We show that in experiments the temperature can be usefully calibrated by making use of the entropy, which is invariant during an adiabatic conversion into the weakly-interacting limit of molecular BEC. We predict the entropy dependence of the equation of state.

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