Low-temperature thermodynamics of the unitary Fermi gas: superfluid fraction, first sound and second sound

Details Low-temperature thermodynamics of the unitary Fermi gas: superfluid fraction, first sound and second sound Low-temperature thermodynamics of the unitary Fermi gas: superfluid fraction, first sound and second sound

2010-11-22

arxiv.org/abs/1011.4893v1

Phys.Rev.A82:063619,2010

Physics

Condensed Matter

Quantum Gases

7 pages, 6 figures, accepted to publication in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.82.063619

We investigate the low-temperature thermodynamics of the unitary Fermi gas by introducing a model based on the zero-temperature spectra of both bosonic collective modes and fermonic single-particle excitations. We calculate the Helmholtz free energy and from it we obtain the entropy, the internal energy and the chemical potential as a function of the temperature. By using these quantities and the Landau's expression for the superfluid density we determine analytically the superfluid fraction, the critical temperature, the first sound velocity and the second sound velocity. We compare our analytical results with other theoretical predictions and experimental data of ultracold atoms and dilute neutron matter.

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