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We investigate effects of pseudo-spin population imbalance on Mott phases in1D trapped two-component atomic Fermi gases loaded on optical lattices based onthe repulsive Hubbard model in harmonic traps. By using the density matrixrenormalization group method, we numerically calculate density profiles of eachcomponent and clarify the pseudo-spin magnetism. Consequently, we find that allthe features from weakly imbalance to fully polarized cases are well describedby S=1/2 antiferromagnetic Heisenberg chain under magnetic field. These resultsindicate that the Mott phases offer experimental stages for studying variousinteracting spin systems.

Mott Phase in Polarized Two-component Atomic Fermi Lattice Gas:A Playground for S=1/2 Heisenberg Model in Magnetic Field