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arXiv 1102.2392quant-ph
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开放量子动力学中的连续变量纠缠

Continuous variable entanglement in open quantum dynamics

Aurelian Isar

摘要:

在基于完全正量子动力学半群的开放系统理论框架下,我们给出了两个非耦合谐振子与热环境相互作用系统的纠缠动力学描述.利用Peres-Simon双模高斯态可分性的充分必要判据,我们用高斯输入态的协方差矩阵描述了纠缠的演化.对于环境温度的某些值,状态始终保持其初始类型:可分离或纠缠。在其他情况下,纠缠产生,纠缠突然死亡或纠缠的反复崩溃和复活发生。我们还分析了表征量子态纠缠度的对数负性随时间的演化。

英文摘要:

In the framework of the theory of open systems based on completely positive quantum dynamical semigroups, we give a description of the dynamics of entanglement for a system consisting of two uncoupled harmonic oscillators interacting with a thermal environment. Using Peres-Simon necessary and sufficient criterion for separability of two-mode Gaussian states, we describe the evolution of entanglement in terms of the covariance matrix for a Gaussian input state. For some values of the temperature of environment, the state keeps for all times its initial type: separable or entangled. In other cases, entanglement generation, entanglement sudden death or a repeated collapse and revival of entanglement take place. We analyze also the time evolution of the logarithmic negativity, which characterizes the degree of entanglement of the quantum state.

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