Initial correlations in open-systems dynamics: The Jaynes-Cummings model
Initial correlations in open-systems dynamics: The Jaynes-Cummings model
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DOI：
10.1103/physreva.82.062114
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发表时间：
2010-12-23
影响因子：
2.9
通讯作者：
Vacchini, Bassano
中科院分区：
文献类型：
--
作者：
Smirne, Andrea;Breuer, Heinz-Peter;Vacchini, Bassano
利用迹距离作为量子态可分离性的度量，研究了初始关联对开放系统动力学的影响。我们专注于Jaynes-Cummings模型的知识，系统和水库的确切联合动力学允许治疗的初始状态与任意的相关性。作为在初始状态的相关性的措施，我们考虑系统的环境状态和其边缘状态的产品之间的痕迹距离。特别是，我们检查包含在热平衡态的总系统的相关性，分析它们对温度和耦合强度的依赖性，并证明它们的连接的纠缠特性的本征态的哈密顿量。详细研究了从热平衡态及其相应的非关联产物态演化而来的开放系统态的可解释性随时间的变化，结果表明，开放系统动态地揭示了初始关联的典型特征。
Employing the trace distance as a measure for the distinguishability of quantum states, we study the influence of initial correlations on the dynamics of open systems. We concentrate on the Jaynes-Cummings model for which the knowledge of the exact joint dynamics of system and reservoir allows the treatment of initial states with arbitrary correlations. As a measure for the correlations in the initial state we consider the trace distance between the system-environment state and the product of its marginal states. In particular, we examine the correlations contained in the thermal equilibrium state for the total system, analyze their dependence on the temperature and on the coupling strength, and demonstrate their connection to the entanglement properties of the eigenstates of the Hamiltonian. A detailed study of the time dependence of the distinguishability of the open system states evolving from the thermal equilibrium state and its corresponding uncorrelated product state shows that the open system dynamically uncovers typical features of the initial correlations.