Ground States of the Spin-1 Bose-Hubbard Model

Abstract

We prove basic theorems about the ground states of the S=1 Bose-Hubbard model. The results are quite universal and depend only on the coefficient U_2 of the spin-dependent interaction. We show that the ground state exhibits saturated ferromagnetism if U_2<0, is spin-singlet if U_2>0, and exhibits "SU(3)-ferromagnetism" if U_2=0, and completely determine the degeneracy in each region.

5 pages, no figures, version 2: small changes, one reference is added

References in corpus (2)

• Classifying Novel Phases of Spinor Atoms
• Quantum insulating states of F=2 cold atoms in optical lattices

Cited by in corpus (5)

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• Static and Dynamic Properties of Interacting Spin-1 Bosons in an Optical Lattice
• Analysis and resolution of the ground-state degeneracy of the two-component Bose-Hubbard model
• Upper bound of one-magnon excitation and lower bound of effective mass for ferromagnetic spinor Bose and Fermi gases
• Spinor Bose gas in an elongated trap