【学术视频】第二届ICQD青年科学家论坛 | 北京大学刘雄军教授 | 自由微信

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【学术视频】第二届ICQD青年科学家论坛 | 北京大学刘雄军教授

原创 KouShare 蔻享学术 2021-04-25

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图 | 刘雄军教授

题目：Emergent topology and symmetry-breaking order in correlated quench dynamics

报告人：刘雄军

单位：北京大学

时间：2019-05-30

地点：中国科学技术大学

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报告摘要

Topological phase of matter is a main stream of research in condensed matter physics. The classification of topological phases has been mainly developed based on equilibrium theory. In comparison, quenching a quantum system involves three basic ingredients: the initial phase, the post-quench target phase, and induces non-equilibrium dynamics which carries the information of the former two. In this talk I will introduce how to characterize topological quantum phases by far-from-equilibrium quantum dynamics induced by quench, e.g. based on ultracold atoms or other synthetic quantum systems, and further explore dynamically both the topology and symmetry-breaking order in correlated topological system. In the free-fermion topological phases, a dynamical bulk-surface correspondence is shown to characterize the bulk topology by dynamical topological pattern emerging in the band-inversion surfaces (BISs) in momentum space, similar to the well-known bulk-boundary correspondence in the real space. The dynamical bulk-surface correspondence enables high-precision dynamical approaches to detect topological quantum phases. In the interacting regime, the complex pseudospin dynamics is shown to follow a microscopic Landau-Lifshitz-Gilbert equation and exhibit robust universal behaviors on the BISs, from which the nontrivial topology and magnetic orders can be extracted. In particular, the topology can be characterized by the emergent dynamical topological pattern of quench dynamics on BISs, which is robust against dephasing and heating induced by interactions; the pre-quench symmetry-breaking orders can be read out from a universal scaling behavior of the quench dynamics emerging on the BIS. These results may show insights into the exploration of novel correlation physics with nontrivial topology by quench dynamics.

个人简介

刘雄军教授2011年博士毕业于德州A&M大学物理系。2011至2014年分别在马里兰大学凝聚态物理中心和联合量子研究所，香港科大高等研究院和麻省理工学院从事博士后研究。他于2014年9月加入北京大学量子材料科学中心任研究员，入选国家青年特聘专家。2018年7月获得终身长聘职位，同年8月获得国家杰青资助，2019年1月晋升为正教授。刘雄军教授长期在拓扑物相和超冷原子量子模拟领域开展研究。他在人工规范场量子模拟，拓扑超导领域做出系列原创工作；尤其推动近些年人工自旋轨道耦合、拓扑量子模拟方向的理论和实验发展。研究工作多以通讯作者或一作发表在Science，Science子刊，Nature子刊，PRL，PRX等期刊上。他目前的主要研究兴趣集中在拓扑超导，人工规范场量子模拟，非平衡拓扑量子系统，强关联拓扑物相等方面。