论文标题
纠缠熵的扰动计算
Perturbative calculations of entanglement entropy
论文作者
论文摘要
本文试图将对页面曲线的最新理解扩展到将黑洞蒸发到更通用的系统与热水浴的更为通用系统。尽管复制技巧计算von Neumann的熵通常是一个挑战，但我们已经确定了两个可解决的情况。对于页面曲线的初始部分，我们总结了系统浴耦合$κ$中的扰动系列；最有趣的贡献是订单$ 2S $，其中$ s $是复制品的数量。对于饱和度方案，我们考虑了稍后的外部冲动对熵的影响，并将其与OTOC相关联。在最大的混乱情况中发生了重要的简化，因此可以用中间物体来解释效果，类似于复制虫洞的分支表面。
This paper is an attempt to extend the recent understanding of the Page curve for evaporating black holes to more general systems coupled to a heat bath. Although calculating the von Neumann entropy by the replica trick is usually a challenge, we have identified two solvable cases. For the initial section of the Page curve, we sum up the perturbation series in the system-bath coupling $κ$; the most interesting contribution is of order $2s$, where $s$ is the number of replicas. For the saturated regime, we consider the effect of an external impulse on the entropy at a later time and relate it to OTOCs. A significant simplification occurs in the maximal chaos case such that the effect may be interpreted in terms of an intermediate object, analogous to the branching surface of a replica wormhole.
