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理论物理通讯：英文版

Quantum Entanglement and Nonlocality Properties of Two-Mode Squeezed Thermal States in a Common-Reservoir Model

向少华, 宋克慧, 文伟, 施振刚

Published Jan 1, 2011• 0 citations
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Abstract

我们学习由联合到普通真空环境的二个相同的非交往的单个模式的洞领域组成的一个系统并且借助于典型函数方法提供一般、明确、准确的解决方案给它的主人方程。我们在它的纠纷动力学被二模式的压榨参数和纯净强烈决定的这个模型和表演分析二模式的挤压的热状态的纠纷动力学。特别地，我们发现有压榨的参数的二模式的挤压的热状态是极其易碎的并且几乎不在普通真空环境幸存。我们在如此的环境为二模式的挤压的热状态调查 nonlocality 的时间进化。发展状态在进化的开始失去它的 nonlocality，这被发现，但是在一时间以后， nonlocality 的苏醒能发生。

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我们学习由联合到普通真空环境的二个相同的非交往的单个模式的洞领域组成的一个系统并且借助于典型函数方法提供一般、明确、准确的解决方案给它的主人方程。我们在它的纠纷动力学被二模式的压榨参数和纯净强烈决定的这个模型和表演分析二模式的挤压的热状态的纠纷动力学。特别地，我们发现有压榨的参数的二模式的挤压的热状态是极其易碎的并且几乎不在普通真空环境幸存。我们在如此的环境为二模式的挤压的热状态调查 nonlocality 的时间进化。发展状态在进化的开始失去它的 nonlocality，这被发现，但是在一时间以后， nonlocality 的苏醒能发生。
We study a system consisting of two identical non-interacting single-mode cavity fields coupled to a common vacuum environment and provide general, explicit, and exact solutions to its master equation by means of the characteristic function method. We analyze the entanglement dynamics of two-mode squeezed thermal state in this model and show that its entanglement dynamics is strongly determined by the two-mode squeezing parameter and the purity. In particular, we find that two-mode squeezed thermal state with the squeezing parameter is extremely fragile and almost does not survive in a common vacuum environment. We investigate the time evolution of nonlocality for two-mode squeezed thermal state in such an environment. It is found that the evolved state loses its nonlocality in the beginning of the evolution, but after a time, the revival of nonlocality can occur.
Entangled states play a crucial role in quantum information protocols, thus the dynamical behaviour of entanglement is of great importance. In this letter, we consider a two-mode squeezed vacuum state coupled to one thermal reservoir as a model of an entangled state embedded in an environment. As a criterion for entanglement we use a continuous-variable equivalent of the Peres–Horodecki criterion, namely the Simon criterion. To quantify entanglement we use the logarithmic negativity. We derive a condition, which assures that the state remains entangled in spite of the interaction with the reservoir. Moreover for the case of interaction with vacuum as an environment we show that a state of interest after infinitely long interaction is not only entangled, but also pure. For comparison we also consider a model in which each mode is coupled to its own reservoir.
Dynamics of entangled states of two independent single-mode cavities in a correlated (squeezed) reservoir are investigated in the context of matching the correlations contained in the entangled states to those contained in the reservoir. We illustrate our considerations by examining the time evolution of entanglement of initial single and double excitation NOON and EPR states, and a comparison is made of when each cavity is coupled to its own reservoir or both cavities are coupled to a common reservoir. It is shown that the evolution of the initial entanglement and transfer of entanglement from the squeezed reservoir to the cavity modes depend crucially on the matching of the initial correlations to those contained in the squeezed reservoir. In particular, it is found that initially entangled modes with correlations different from the reservoir correlations prevent the transfer of the correlations from the squeezed field to the modes. In addition, we find that the transient entanglement exhibits several features unique to the quantum nature of squeezing. In particular, we show that in the case of separate squeezed reservoirs the initial entanglement disappears at a finite time, which for the so-called classically squeezed field remains almost the same as in the case of a thermal field. In the case of a common reservoir a recurrence of entanglement occurs and we find that this feature also results from the reservoir correlations unique to quantum correlations. There is no revival of the entanglement when the modes interact with a classically correlated field.