量子布朗运动中环境诱导的双模纠缠
Environment-induced two-mode entanglement in quantum Brownian motion
摘要：
研究了双模连续变量纠缠态的量子关联随时间的演化，分别在单库和双库模型下，研究了噪声相关或不相关非马尔可夫量子信道.为此，我们推广了量子布朗运动模型。高斯连续变量系统的各种可分性准则。在这两种类型的水库模型中，适度的非马尔可夫效应延长了可分性的时间尺度。然而，在这些模型中，稳态的性质可能不同。在两个水库模型中，初始纠缠完全丢失，两个模式最终不相关。在一个共同的水库，两种模式间接相互作用，通过耦合到相同的浴变量。低于临界浴温度，即使在稳定状态下，两种模式之间的纠缠也被保留。导出了一个依赖于水浴温度和开放量子系统响应函数的可分离性判据。因此，在一个共同的水库中的双模连续变量系统的扩展量子布朗运动模型提供了一个环境诱导纠缠的例子。
英文摘要：
The time evolution of quantum correlations of entangled two-mode continuous variable states is examined in single-reservoir as well as two-reservoir models, representing noisy correlated or uncorrelated non-Markovian quantum channels. For this purpose the model of quantum Brownian motion is extended. Various separability criteria for Gaussian continuous variable systems are applied. In both types of reservoir models moderate non-Markovian effects prolong the separability time scales. However, in these models the properties of the stationary state may differ. In the two-reservoir model the initial entanglement is completely lost and both modes are finally uncorrelated. In a common reservoir both modes interact indirectly via the coupling to the same bath variables. Below a critical bath temperature entanglement between the two modes is preserved even in the steady state. A separability criterion is derived, which depends on the bath temperature and the response function of the open quantum system. Thus, the extended quantum Brownian motion model of a two-mode continuous variable system in a common reservoir provides an example of environment-induced entanglement.
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