The Two-Site Bose–Hubbard Model

被引：0
|
作者：
Jon Links
Angela Foerster
Arlei Prestes Tonel
Gilberto Santos
机构：
[1] The University of Queensland,Centre for Mathematical Physics, School of Physical Sciences
[2] Instituto de Física da UFRGS,undefined
来源：
Annales Henri Poincaré | 2006年 / 7卷
关键词：
Hubbard Model; Quantum Dynamic; Baxter Algebra; Boson Number; Total Atom Number;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：1591 / 1600
页数：9
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