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arXiv 1702.02069hep-th
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耗散纠缠与全息解释

Entanglement from Dissipation and Holographic Interpretation

M. Botta Cantcheff, Alexandre L. Gadelha, Dáfni F. Z. Marchioro, Daniel Luiz Nedel

摘要:

在这项工作中,我们研究了耗散场论的耗散过程是明显相关的动力学纠缠,并把它放在全息的背景下。这种努力是通过进一步发展研究量子耗散的规范方法来实现的,该方法包括通过定义辅助系统将原始系统的自由度加倍。利用Ryu-Takayanagi公式,在AdS/CFT对应的背景下,计算了真空态的时间依赖的纠缠熵,并给出了辅助系统和纠缠熵的几何解释.我们表明,耗散动力学控制的纠缠熵,有两个不同的阶段:在早期的全息解释需要一些偏离经典的广义相对论,在后来的时间量子系统被描述为一个虫洞,一个解决方案的爱因斯坦方程附近的最大扩展的黑洞与两个渐近AdS边界。我们将我们的全息分析集中在这个区域,并提出了一种类似于隐形传态协议的机制来在边界上的两个CFTs之间交换(量子)信息(见[28])。

英文摘要:

In this work we study a dissipative field theory where the dissipation process is manifestly related to dynamical entanglement and put it in the holographic context. Such endeavour is realized by further development of a canonical approach to study quantum dissipation, which consists of doubling the degrees of freedom of the original system by defining an auxiliary one. A time dependent entanglement entropy for the vacumm state is calculated and a geometrical interpretation of the auxiliary system and the entropy is given in the context of the AdS/CFT correspondence using the Ryu-Takayanagi formula. We show that the dissipative dynamics is controlled by the entanglement entropy and there are two distinct stages: in the early times the holographic interpretation requires some deviation from classical General Relativity; in the later times the quantum system is described as a wormhole, a solution of the Einstein's equations near to a maximally extended black hole with two asymptotically AdS boundaries. We focus our holographic analysis in this regime, and suggest a mechanism similar to teleportation protocol to exchange (quantum) information between the two CFTs on the boundaries (see [28]).

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