Self-trapping and periodic modulation of Fermi gases in optical lattices

Abstract

The change of phase space and periodic modulation of Fermi gas from the BCS to unitarity is investigated in one-dimensional optical lattice. Through controlling the scattering length and coupling constant in unitarity, we find the critical values (from the Josephson oscillation to the oscillating-phase-type self-trapping and from the latter to the self-trapping), at the same time, we also find the relationship between the critical coupling constants and the scattering length.