Ground States of the Spin-1 Bose-Hubbard Model
Quantum Gases
2013-04-02 v2 Statistical Mechanics
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.
Cite
@article{arxiv.1212.6035,
title = {Ground States of the Spin-1 Bose-Hubbard Model},
author = {Hosho Katsura and Hal Tasaki},
journal= {arXiv preprint arXiv:1212.6035},
year = {2013}
}
Comments
5 pages, no figures, version 2: small changes, one reference is added