【学术视频】“非厄米系统动力学演化及其拓扑性质”培训班 | 首师大陈宇博士
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图 | 陈宇
题 目：Non-hermitian linear response theory报告人：陈宇单 位：首都师范大学时 间：2019-12-16地 点：北京计算科学研究中心
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报告摘要
Linear response theory lies at the heart of quantum many-body physics because it builds up connections between the dynamical response to an external probe and correlation functions at equilibrium. Here we consider the dynamical response of a Hermitian system to a non-Hermitian probe, and we develop a non-Hermitian linear response theory that can also relate this dynamical response to equilibrium properties. As an application of our theory, we consider the real-time dynamics of momentum distribution induced by onebody and two-body dissipations. We find that, for many cases, the dynamics of momentum occupation and the width of momentum distribution obey the same universal function form, governed by the single-particle spectral function. We find that the dynamics are slow for critical state with no welldefined quasi-particles. We apply our results to analyze recent experiment on the Bose-Hubbard model and find surprising good agreement between theory and experiment. Our theory also provides a model independent way to extract the critical exponent, which has not been measured before and is hard to calculate in theory for two- dimensional Bose-Hubbard model.
个人简介
陈宇，2012年博士毕业于北京大学物理学院，主攻方向为强关联电子体系。毕业后他在清华大学高等研究院从事博士后研究工作，主要从事冷原子物理和无序，量子混沌研究。2015年，他加入了首都师范大学物理系，现主要的研究兴趣包括，空腔电动力学体系中的非平衡强关联效应，量子混沌理论（包括量子混沌的拓扑效应，本征态热化假说与多体局域化，量子临界现象与全息对偶理论等）。
会议简介
“非厄米系统动力学演化及其拓扑性质”培训班
The International Workshop on Frontiers in Quantum Physics and Quantum Information is a series workshop for theoretical and experimental quantum information research. This year, we focus on the topic “topology and dynamics in non-Hermitian systems”. Non-Hermitian Hamiltonians were not taken seriously in the past since they were assumed to be unphysical. With the advent of parity-time reversal symmetric systems possessing real eigenvalues and conserved probability, and with numerous experimental demonstrations, such Hamiltonians are now studied routinely as many novel features in non-Hermitian systems may or may not have any analogue in the Hermitian counterparts. Study of topological phases in non-Hermitian systems is one of the fastest growing and hot research topics. Some of the models have no direct analogy with the Hermitian counterparts and predict exotic topological phases which remained elusive in Hermitian systems but can be rather easily obtained in non-Hermitian systems. The scientific objects of the workshop are to gather widely recognized experts in the field to present and discuss groundbreaking work.
●【学术视频】“非厄米系统动力学演化及其拓扑性质”培训班 | 南开大学金亮副教：Non-Hermitian topological phase in photonics
●【学术视频】“非厄米系统动力学演化及其拓扑性质”培训班 | 中国科大陈帅教授：Explore topology of quantum gases by quench dynamics
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