A quasi-exactly solvable Lipkin-Meshkov-Glick model

被引：1
作者：
Pan, Feng [1 ,2 ]
Lin, Jijie [1 ]
Xue, Xiaogang [1 ]
Draayer, J. P. [2 ]
机构：
[1] Liaoning Normal Univ, Dept Phys, Dalian 116029, Peoples R China
[2] Louisiana State Univ, Dept Phys & Astron, Baton Rouge, LA 70803 USA
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2010年 / 43卷 / 18期
基金：
美国国家科学基金会;
关键词：
BODY APPROXIMATION METHODS; BOSE-HUBBARD MODEL; QUANTUM DYNAMICS; VALIDITY; TRANSITION; SYSTEMS;
D O I：
10.1088/1751-8113/43/18/185203
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We prove that a special Lipkin-Meshkov-Glickmodel is quasi-exactly solvable with solutions that can be expressed in the SU(2) coherent state form. Ground-state properties of the model are studied analytically. We also show that the model reduces to the standard two-site Bose-Hubbard model in the large-N limit for finite U/t or large (N - 1)vertical bar U vertical bar/t cases with finite N, which proves that in these cases the ground state of the standard two-site Bose-Hubbard model is an SU(2) coherent state.
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