Correlation Effects on Atom Density Profiles of 1-D and 2-D Polarized Atomic-Fermi-Gas Loaded on Optical Lattice

Abstract

We investigate effects of optical lattice potential in one- and two-dimensional two-component trapped Fermi gases with population imbalances. Using the exact diagonalization and the density matrix renormalization group methods complementarily, we calculate the atom density profile from the ground state many-body wavefunction as a function of attractive interaction strength for various population imbalances. The numerical results reveal that although a phase separation between the superfluid core and the shell cloud of excess atoms occurs as observed in experiments without the optical lattice, the population imbalance generally remains in the core region in contrast to the non-lattice cases. The essence of the numerical results in a strong attractive regime can be explained by an effective model composed of Cooper pairs and excess major fermions.

References are added to the published version

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Cited by in corpus (12)

• Ultra-cold Polarized Fermi Gases
• Spectral signatures of the Fulde-Ferrell-Larkin-Ovchinnikov order parameter in one-dimensional optical lattices
• Phase separation of trapped spin-imbalanced Fermi gases in one-dimensional optical lattices
• Pair correlations of a spin-imbalanced Fermi gas on two-leg ladders
• Ground states and dynamics of population-imbalanced Fermi condensates in one dimension
• Ground-state properties of the one-dimensional attractive Hubbard model with confinement: a comparative study
• 2kF-Friedel to 4kF-Wigner oscillations in one-dimensional Fermi gases under confinement
• Phase separation in optical lattices in a spin-dependent external potential
• Polarized superfluid state in a three-dimensional fermionic optical lattice
• Fulde-Ferrell-Larkin-Ovchinnikov pairing states of a polarized dipolar Fermi gas trapped in a one-dimensional optical lattice
• Double occupancies in confined attractive fermions on optical lattices
• Superfluid gap formation in a fermionic optical lattice with spin imbalanced populations