Recognition: unknown
Ground States of the Spin-1 Bose-Hubbard Model
classification
❄️ cond-mat.quant-gas
cond-mat.stat-mech
keywords
groundbose-hubbardexhibitsferromagnetismmodelstatesbasiccoefficient
read the original 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.
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