Equation of state and effective mass of the unitary Fermi gas in a 1D periodic potential

Details Equation of state and effective mass of the unitary Fermi gas in a 1D periodic potential Equation of state and effective mass of the unitary Fermi gas in a 1D periodic potential

2008-06-28

arxiv.org/abs/0806.4713v2

Phys. Rev. A 78, 063619 (2008)

Physics

Condensed Matter

Superconductivity

6 pages, 4 figures, to appear in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.78.063619

By solving the Bogoliubov -- de Gennes equations at zero temperature, we study the effects of a one-dimensional optical lattice on the behavior of a superfluid Fermi gas at unitarity. We show that, due to the lattice, at low densities the gas becomes highly compressible and the effective mass is large, with a consequent significant reduction of the sound velocity. We discuss the role played by the lattice in the formation of molecules and the emergence of two-dimensional effects in the equation of state. Predictions for the density profiles and for the frequency of the collective oscillations in the presence of harmonic trapping are also given.

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