【大学频道】北京大学量子材料科学中心呈献 | 清华大学汪忠研究员

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图 | 汪忠

题目：Non-Hermitian skin effect and non-Bloch band theory

报告人：汪忠

单位：清华大学

时间：2019-10-30

地点：北京大学

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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.