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Analysis of dynamical properties for two-site Bose-Hubbard model with an algebraic method |
| Xiang-Jia MENG,Yujun Zheng |
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Abstract In this work, we propose an algebraic recursion method to study the
dynamical evolution of the two-site Bose-Hubbard model.
We analyze its properties from the viewpoints of single partite
\textit{purity, energy} and \textit{trace distance}, in which the model is considered as a
typical bipartite system.
The analytical expressions for the quantities are derived.
We show that the purity can good reflect the transition between different regimes for the system.
In addition, we demonstrate that the transition from the delocalization
regime to the self-trapping regime with the ratio $\eta$ increasing
not only happens for an initially local state but also for any initial states.
Furthermore, we confirm that the dynamics of the system
presents a periodicity for $\eta=0$ and the period is $t_c=\pi/2J$ when
the initial state is symmetric.
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Received: 17 June 2013
Revised: 17 September 2013
Published: 31 October 2013
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Corresponding Authors:
Yujun Zheng
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Cite this article:
Xiang-Jia MENG Yujun Zheng Analysis of dynamical properties for two-site Bose-Hubbard model with an algebraic method Chin. Phys. B 0
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