Spinor Bosonic Atoms in Optical Lattices: Symmetry Breaking and Fractionalization

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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4 pages, 1 figure included; references added

Scientific paper

10.1103/PhysRevLett.88.163001

We study superfluid and Mott insulator phases of cold spin-1 Bose atoms with antiferromagnetic interactions in an optical lattice, including a usual polar condensate phase, a condensate of singlet pairs, a crystal spin nematic phase, and a spin singlet crystal phase. We suggest a possibility of exotic fractionalized phases of spinor BEC and discuss them in the language of topological defect condensation and $Z_2$ lattice gauge theory.

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