Title: Entanglement from Dissipation and Holographic Interpretation Show Chinese title

Title: 耗散产生的纠缠与全息诠释

Abstract: 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]). Show Chinese abstract

Abstract: 在这项工作中，我们研究了一种耗散场论，其中耗散过程明显与动态纠缠有关，并将其置于全息上下文中。 通过进一步发展一种研究量子耗散的正则方法来实现这一目标，该方法通过定义一个辅助系统来加倍原始系统的自由度。 计算了真空态的时间相关纠缠熵，并在AdS/CFT对应关系的背景下使用Ryu-Takayanagi公式给出了辅助系统和熵的几何解释。 我们证明，耗散动力学由纠缠熵控制，并且存在两个不同的阶段：在早期阶段，全息解释需要偏离经典广义相对论；在晚期阶段，量子系统被描述为虫洞，即接近于具有两个渐近AdS边界的极大扩展黑洞的爱因斯坦方程解。 我们将全息分析集中在这一阶段，并提出了一种类似于量子隐形传态协议的机制，用于在边界上的两个CFT之间交换（量子）信息（参见[28]）。