Abstract
We study through controlled numerical simulation the ground-state properties of spin-polarized strongly interacting Fermi gas in an anisotropic optical lattice, which is described by an effective one-dimensional general Hubbard model with particle-correlated hopping rate. We show that the Fulde-Ferrell-Larkin-Ovchinnikov type of state, while enhanced by a negative correlated hopping rate, can be completely suppressed by positive particle-correlated hopping, yielding an unusual magnetic phase even for particles with on-site attractive interaction We also find several different phase-separation patterns for these atoms in an inhomogeneous harmonic trap, depending on the correlated hopping rate.
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