While the concepts of quantum many-body integrability and chaos are of fundamental importance for the understanding of quantum matter, their precise definition has so far remained an open question. While existing indicators, such as those obtained from level-spacing statistics, have already been utilized with great success, they also face limitations. I will talk about an alternative indicator for quantum many-body integrability and chaos, which is based on the statistics of eigenstates by means of nearest-neighbor subsystem trace distances. The average subsystem trace distance provides a faithful classification through extensive numerical simulations for a large variety of paradigmatic model systems including random matrix theories, free fermions, Bethe-ansatz solvable systems, and models of many-body localization.

报告人简介    

张甲举，2009年于山东师范大学获物理学学士学位，2014年于北京大学获理论物理博士学位，之后分别于中国科学院高能物理研究所、意大利米兰比可卡大学、意大利国际高等研究院（SISSA）从事博士后研究工作，2020年入职天津大学任副教授。

邀请人   

王少江 副研究员