Closed hierarchy of correlations in Markovian open quantum systems

被引:19
|
作者
Zunkovic, Bojan [1 ]
机构
[1] Univ Chile, Fac Ciencias Fis & Matemat, Dept Fis, Santiago, Chile
来源
NEW JOURNAL OF PHYSICS | 2014年 / 16卷
关键词
NONEQUILIBRIUM STEADY-STATES; ASYMMETRIC EXCLUSION MODEL; ATOMS;
D O I
10.1088/1367-2630/16/1/013042
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We study the Lindblad master equation in the space of operators and provide simple criteria for closeness of the hierarchy of equations for correlations. We separately consider the time evolution of closed and open systems and show that open systems satisfying the closeness conditions are not necessarily of Gaussian type. In addition, we show that dissipation can induce the closeness of the hierarchy of correlations in interacting quantum systems. As an example we study an interacting optomechanical model, the Fermi-Hubbard model, and the Rabi model, all coupled to a fine-tuned Markovian environment and obtain exact analytic expressions for the time evolution of two-point correlations.
引用
收藏
页数:24
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