Scientific Results

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

Year: 2010

Authors: Salasnich L.

Autors Affiliation: CNR – Istituto Nazionale di Ottica and Dip. di fisica, Università di Padova Italy

Abstract: 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.


Volume: 82 (6)      Pages from: 063619  to: 063619

KeyWords: bcs-bec
DOI: 10.1103/PhysRevA.82.063619

Citations: 20
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