Exact Solution of Two-Site Bose Hubbard Model with Generic Open Boundaries

被引：1
作者：
Xin Zhi-Rong [1 ]
Yang Tao [1 ]
Hao Kun [1 ]
Yang Wen-Li [1 ,2 ]
机构：
[1] NW Univ Xian, Inst Modern Phys, Xian 710069, Peoples R China
[2] Beijing Ctr Math & Informat Interdisciplinary Sci, Beijing 100048, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2015年 / 64卷 / 06期
基金：
中国国家自然科学基金;
关键词：
quantum tunneling; open spin chain; high spin; Bethe ansatz; T-Q relation; INVERSE SCATTERING METHOD; QUANTUM DYNAMICS; PHASE-TRANSITION; SUPERFLUID; INSULATOR; BEHAVIOR; ARRAYS; GASES;
D O I：
10.1088/0253-6102/64/6/653
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The Bose Hubbard model is a paradigm for the study of strongly correlated bosonic systems. We study the two-site Bose Hubbard model with generic integrable open boundaries specified by the most general non-diagonal reflecting matrices. Besides the inhomogeneous parameters, the model itself has three free boundary parameters, which break the U(1)-symmetry, in other words, break the particle number conservation. The Hamiltonian H under these circumstances is constructed. With the help of the off-diagonal Bethe Ansatz method, we successfully obtain the corresponding Bethe Ansatz equations as well as the eigenvalues.
引用
收藏
页码：653 / 658
页数：6
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