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

Abstract

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.

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

References in corpus (5)

• Many-Body Physics with Ultracold Gases
• Theory of ultracold Fermi gases
• Critical velocity for superfluid flow across the BEC-BCS crossover
• Bose-Einstein condensates in 1D optical lattices: compressibility, Bloch bands and elementary excitations
• The Josephson effect throughout the BCS-BEC crossover

Cited by in corpus (8)

• Neutron conduction in the inner crust of a neutron star in the framework of the band theory of solids
• Critical velocity of superfluid flow through single barrier and periodic potentials
• Superfluid fraction in an interacting spatially modulated Bose-Einstein condensate
• Density-wave ordering in a unitary Fermi gas with photon-mediated interactions
• Entrainment in Superfluid Neutron Star Crusts: Hydrodynamic Description and Microscopic Origin
• Effects of pairing gap and band gap on superfluid density in the inner crust of neutron stars
• Effects of periodic potentials on the critical velocity of superfluid Fermi gases in the BCS-BEC crossover
• Superfluid Fraction and Leggett Bound in a Density Modulated Strongly Interacting Fermi Gas at Zero Temperature