Ground States of the Spin-1 Bose-Hubbard Model

被引：23
|
作者：
Katsura, Hosho [1 ]
Tasaki, Hal [1 ]
机构：
[1] Gakushuin Univ, Dept Phys, Toshima Ku, Mejiro, Tokyo 1718588, Japan
来源：
PHYSICAL REVIEW LETTERS | 2013年 / 110卷 / 13期
关键词：
ATOMS; ENERGY;
D O I：
10.1103/PhysRevLett.110.130405
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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. DOI: 10.1103/PhysRevLett.110.130405
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页数：5
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