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We investigate effects of optical lattice potential in one- andtwo-dimensional two-component trapped Fermi gases with population imbalances.Using the exact diagonalization and the density matrix renormalization groupmethods complementarily, we calculate the atom density profile from the groundstate many-body wavefunction as a function of attractive interaction strengthfor various population imbalances. The numerical results reveal that although aphase separation between the superfluid core and the shell cloud of excessatoms occurs as observed in experiments without the optical lattice, thepopulation imbalance generally remains in the core region in contrast to thenon-lattice cases. The essence of the numerical results in a strong attractiveregime can be explained by an effective model composed of Cooper pairs andexcess major fermions.

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