Endpoint thermodynamics of an atomic Fermi gas subject to a Feshbach resonance

Details Endpoint thermodynamics of an atomic Fermi gas subject to a Feshbach resonance Endpoint thermodynamics of an atomic Fermi gas subject to a Feshbach resonance

2004-05-19

arxiv.org/abs/cond-mat/0405459v1

Phys. Rev. A v.70 p.043609 (2004)

Physics

Condensed Matter

Statistical Mechanics

12 pages, 5 figures

Scientific paper

10.1103/PhysRevA.70.043609

The entropy and kinetic, potential, and interaction energies of an atomic Fermi gas in a trap are studied under the assumption of thermal equilibrium for finite temperature. A Feshbach resonance can cause the fermions to pair into diatomic molecules. The entropy and energies of mixtures of such molecules with unpaired atoms are calculated, in relation to recent experiments on molecular Bose-Einstein condensates produced in this manner. It is shown that, starting with a Fermi gas of temperature $T= 0.1 T_F^0$, where $T_F^0$ is the non-interacting Fermi temperature, an extremely cold degenerate Fermi gas of temperature $T \lesssim 0.01 T_F^0$ may be produced without further evaporative cooling. This requires adiabatic passage of the resonance, subsequent sudden removal of unpaired atoms, and adiabatic return. We also calculate the ratio of the interaction energy to the kinetic energy, a straightforward experimental signal which may be used to determine the temperature of the atoms and indicate condensation of the molecules.

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