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

Abstract

We investigate effects of pseudo-spin population imbalance on Mott phases in 1D trapped two-component atomic Fermi gases loaded on optical lattices based on the repulsive Hubbard model in harmonic traps. By using the density matrix renormalization group method, we numerically calculate density profiles of each component and clarify the pseudo-spin magnetism. Consequently, we find that all the features from weakly imbalance to fully polarized cases are well described by S=1/2 antiferromagnetic Heisenberg chain under magnetic field. These results indicate that the Mott phases offer experimental stages for studying various interacting spin systems.

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Cited by in corpus (9)

• Nontrivial Haldane phase of an atomic two-component Fermi gas trapped in a 1d optical lattice
• Universal quantum behaviors of interacting fermions in 1D traps: from few particles to the trap thermodynamic limit
• Ground states and dynamics of population-imbalanced Fermi condensates in one dimension
• Phase separation in optical lattices in a spin-dependent external potential
• Fulde-Ferrell-Larkin-Ovchinnikov pairing states of a polarized dipolar Fermi gas trapped in a one-dimensional optical lattice
• Polarization Plateau in Atomic Fermi Gas Loaded on Triangular Optical Lattice
• Magnetism Localization in Spin-Polarized One-Dimensional Anderson-Hubbard Model
• Spin-orbit coupled repulsive Fermi atoms in a one-dimensional optical lattice
• Pseudospin and spin-spin interactions in ultra-cold alkali atoms