Phase diagram of two-component bosons on an optical lattice

Abstract

We present a theoretical analysis of the phase diagram of two--component bosons on an optical lattice. A new formalism is developed which treats the effective spin interactions in the Mott and superfluid phases on the same footing. Using the new approach we chart the phase boundaries of the broken spin symmetry states up to the Mott to superfluid transition and beyond. Near the transition point, the magnitude of spin exchange can be very large, which facilitates the experimental realization of spin-ordered states. We find that spin and quantum fluctuations have a dramatic effect on the transition making it first order in extended regions of the phase diagram. For Mott states with even occupation we find that the competition between effective Heisenberg exchange and spin-dependent on--site interaction leads to an additional phase transition from a Mott insulator with no broken symmetries into a spin-ordered insulator.

References in corpus (10)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
• Counterflow Superfluidity of Two-Species Ultracold Atoms in a Commensurate Optical Lattice
• Coherent transport of neutral atoms in spin-dependent optical lattice potentials
• High-temperature superfluidity of fermionic atoms in optical lattices
• Spin-spin interaction and spin-squeezing in an optical lattice
• Spinor Bosonic Atoms in Optical Lattices: Symmetry Breaking and Fractionalization
• From Cooper pairs to Luttinger liquids with bosonic atoms in optical lattices
• Magnetism in a lattice of spinor Bose condensates

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