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.
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