【学术视频】“非厄米系统动力学演化及其拓扑性质”培训班 | 清华大学汪忠研究员

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题   目：Non-Hermitian skin effect and non-Bloch band theory: Topology and dynamics报告人：汪忠单   位：清华大学时   间：2019-12-15地   点：北京计算科学研究中心

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报告摘要

Non-Hermitian operators provide a unifying language for many open systems. One of the counterintuitive features of non-Hermitian Hamiltonians is the non-Hermitian skin effect, namely, that all the eigenstates are exponentially localized at the boundary of the system. It implies a dramatic departure from the standard Bloch band theory of Hermitian systems, and causes failures of conventional topological invariants in predicting the topological edge modes. In this talk, I will introduce the basic idea of the recently proposed non-Bloch band theory of non-Hermitian systems. In the first part, it will be shown that the non-Bloch topological invariants defined in the generalized Brillouin zone faithfully predict the topological edge modes, embodying a generalized (non-Bloch) bulk-boundary correspondence. In the second part, I will show that the non-Hermitian skin effect has interesting consequences in the dynamics of open quantum systems governed by the master equation. Specifically, the non-Hermitian skin effect induces a "chiral damping" with novel long-time behaviors.

个人简介

Zhong Wang finished his undergraduate education (2001-2005) and then got the doctorate from University of Science and Technology of China (2011). During 2009-2010 he was a visiting student in Stanford University. He joined Institute for Advanced Study of Tsinghua Univeristy in 2011 as an associate member; he is now a member there. His current research interests include topological phases and topological phenomena in condensed matters, classical and quantum open systems, and strongly correlated electronic systems.

会议简介

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.
主办方：北京计算科学研究中心

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