【学术视频】“非厄米系统动力学演化及其拓扑性质”培训班 | 南开大学金亮副教授

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图 | 金亮

题   目：Non-Hermitian topological phase in photonics报告人：金亮单   位：南开大学时   间：2019-12-16地   点：北京计算科学研究中心

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报告摘要

Non-Hermitian topological phases are feasible in photonic lattices. In this talk, we review our recent progresses in non-Hermitian topological phases. We will first show our understanding on the breakdown of conventional bulk-boundary correspondence and explain it from the viewpoint of non-Hermitian Aharonov-Bohm effect. We show that the inversion symmetry and combined-inversion symmetry play an important role for the validity of conventional bulk-boundary correspondence in non-Hermitian topological systems. Then, we will talk about the topological gapless phases with symmetry-protected isolated exceptional point. The exceptional points in the Brillouin zone only move, merge, and split in pairs; and their configurations characterize the symmetry-protected topological phases. The way of non- Hermiticity appearance matters for the system topology. The topological phase transition, the topological invariant, and the existence of edge states may not be altered, being independent of the non-Hermitian phase transition if the non-Hermiticity is properly introduced. Finally; we will show a graphic approach proposed for visualizing one-dimensional topological phases. The rich topological phases of either gapless or gapped (separable), either Hermitian or non-Hermitian band touching, and either trivial or nontrivial phases are all distinguishable from the eigenstate graphs.

个人简介

金亮，2003-2007年在南开大学获理学学士学位；2007-2012年在南开大学获得理学博士学位；2012-2015年在香港中文大学做博士后研究工作；2016至今任职于南开大学。其研究领域包括：1、宇称-时间对称非厄米量子理论；2、自旋电子的微波激光理论；3、拓扑量子系统非厄米拓扑系统拓扑量子系统的性质及动力学特性；4、量子信息与量子计算；5、强关联量子系统。

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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