【学术视频】“非厄米系统动力学演化及其拓扑性质”培训班 | 中科院物理所方辰教授

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图 | 方辰

题   目：Correspondence between Winding numbers and skin-modes in non-Hermitian systems

报告人：方辰

单   位：中国科学院物理研究所

时   间：2019-12-14

地   点：北京计算科学研究中心

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报告摘要

We establish exact relations between the winding of "energy" (eigenvalue of Hamiltonian) on the complex plane as momentum traverses the Brillouin zone with periodic boundary condition, and the presence of "skin modes" with open boundary condition in non-hermitian systems. We show that the nonzero winding with respect to any complex reference energy leads to the presence of skin modes, and vice versa. We also show that both the nonzero winding and the presence of skin modes share the common physical origin that is the non-vanishing current through the system.

个人简介

Chen Fang graduated from Peking University with a Bachelor of Science degree in 2004, and graduated from Purdue University in 2011 with a Doctor of Philosophy degree in physics. He was a postdoctoral research associate at Princeton University and Massachusetts Institute of Technology from 2011 to 2015. Chen Fang became an associate professor at Institute of Physics, Chinese Academy of Science in 2015, and a professor at the same institution in 2018. He has been in charge of a Youth 973 Project since 2016. Chen Fang's work in recent years is mainly in the field of topological band theory.

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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