The two-site Bose-Hubbard model

被引：27
|
作者：
Links, Jon [1 ]
Foerster, Angela
Tonel, Arlei Prestes
Santos, Gilberto
机构：
[1] Univ Queensland, Ctr Math Phys, Sch Phys Sci, Brisbane, Qld 4072, Australia
[2] Univ Fed Rio Grande do Sul, Inst Fis, Porto Alegre, RS, Brazil
来源：
ANNALES HENRI POINCARE | 2006年 / 7卷 / 7-8期
关键词：
D O I：
10.1007/s00023-006-0295-3
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The two-site Bose-Hubbard model is a simple model used to study Josephson tunneling between two Bose-Einstein condensates. In this work we give an overview of some mathematical aspects of this model. Using a classical analysis, we study the equations of motion and the level curves of the Hamiltonian. Then, the quantum dynamics of the model is investigated using direct diagonalization of the Hamiltonian. In both of these analyses, the existence of a threshold coupling between a delocalized and a self-trapped phase is evident, in qualitative agreement with experiments.
引用
收藏
页码：1591 / 1600
页数：10
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