报告题目：Pseudoentropy and timelike entanglement entropy

报  告 人：郭武中 副教授，华中科技大学

研究方向：AdS/CFT、量子纠缠

报告时间：2024年12月26日（星期四）下午16:00

报告地点：量子楼410报告厅

报告摘要：

We generally use wave functions or density matrices to describe the states of quantum systems. In this talk, I will discuss a generalization of the density matrix known as the transition matrix, which is often non-Hermitian. In quantum field theory, we can construct transition matrices and investigate their entanglement and related properties. In the context of AdS/CFT correspondence, these transition matrices are expected to correspond with geometries that can be interpreted as non-Hermitian spacetimes. Based on the transition matrix, we can define pseudo-Rényi entropy and pseudoentropy. These quantities exhibit interesting properties and are closely related to many aspects of quantum field theory. Specifically, through analytic continuation of the superposition parameters, one can derive an intriguing and systematic relationship between pseudo-Rényi entropy, pseudoentropy and Renyi entropy, entanglement entropy. Furthermore, the concept of timelike entanglement entropy is an extension of spacelike entanglement and may be considered an example of pseudoentropy. In quantum field theory, timelike entanglement entropy can be obtained via Wick rotation. In fact, timelike entanglement entropy also obeys a sum rule that is related to spacelike entanglement entropy, which I will briefly discuss along with its possible applications.

报告人简介：

郭武中，2016年在中科院理论物理所获得博士学位，2014.10-2015.10京都大学基础理论物理研究所访问，2016年-2019年在台湾清华大学理论科学中心做博后，目前为华中科技大学物理学院副教授。研究领域为引力理论与场论，研究方向为AdS/CFT、量子纠缠等相关内容。