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arXiv 0812.3818quant-ph
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开放量子动力学中的纠缠

Entanglement in open quantum dynamics

Aurelian Isar

备注：
9 pages, 3 figures; talk at the 15th Central European Workshop on Quantum Optics (CEWQO 2008), Belgrade, Serbia (2008); to appear in: Physica Scripta - Topical issue (2009)
发表信息：
Physica Scripta, Topical Issue T135, 014033 (2009)
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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，我们给出了两个独立谐振子与一般环境相互作用系统的连续变量纠缠的描述.利用Peres-Simon双模高斯态可分性的充分必要判据，对任意高斯输入态，用协方差矩阵描述了纠缠的产生和演化.对于描述环境的扩散和耗散系数的某些值，状态始终保持其初始类型：可分离或纠缠。在其他情况下，纠缠产生或纠缠崩溃（纠缠猝死）甚至周期性的纠缠崩溃和复苏。我们表明，对于某些类的环境中的初始状态渐近演化到纠缠平衡二分态，而对于其他值的系数描述的环境，渐近状态是可分离的。我们还计算了表征渐近态纠缠度的对数负性。

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 continuous-variable entanglement for a system consisting of two independent harmonic oscillators interacting with a general environment. Using Peres-Simon necessary and sufficient criterion for separability of two-mode Gaussian states, we describe the generation and evolution of entanglement in terms of the covariance matrix for an arbitrary Gaussian input state. For some values of diffusion and dissipation coefficients describing the environment, the state keeps for all times its initial type: separable or entangled. In other cases, entanglement generation or entanglement collapse (entanglement sudden death) take place or even a periodic collapse and revival of entanglement. We show that for certain classes of environments the initial state evolves asymptotically to an entangled equilibrium bipartite state, while for other values of the coefficients describing the environment, the asymptotic state is separable. We calculate also the logarithmic negativity characterizing the degree of entanglement of the asymptotic state.

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