华中科技大学国家脉冲强磁场科学中心
学校主页 | English

科学研究

Research

学术交流

当前位置: 首页 > 科学研究 > 学术交流 > 正文

Integrability and chaos of 1+1d chiral edge states

发布日期:2022-01-07    作者:     来源:     点击:

题目:Integrability and chaos of 1+1dchiral edge states

报告人:廉骉(Biao Lian),普林斯顿大学助理教授

邀请人:徐刚教授

时间:2022年1月11日上午9:30-11:00

地点:腾讯会议(会议号:889 319 659


报告摘要:

I will talk about the integrability and chaos of 1+1d interacting chiral edge states, which may arise on the edge of 2+1d topological states of matter. We show that chiral Luttinger liquid is not always a good low energy description of the edge states, and marginal interactions can significantly affect their spectrum and integrability. We first study N identical chiral Majorana fermion modes with random 4-fermion interactions, where we show that the system undergoes a transition from integrable to quantum chaotic at N=7. The large N limit defines a chiral SYK model, where the Lyapunov exponent in the out-of-time-ordered correlation can be solved analytically. I will also present a chiral SY model which has Abelian anyon charge excitations and exhibits similar quantum chaos. Lastly, I will talk about the analytical and numerical study of the 4/3 FQH edge theory, which shows unusual behavior in its integrability.


报告人简介:

廉骉,普林斯顿物理系助理教授。2012年在清华大学物理系获得学士学位,2017年在斯坦福大学物理系获得博士学位。研究方向包括物质拓扑相、量子霍尔系统、低维强相互作用系统以及多体系统的纠缠和量子动力学的理论研究。2021年获得美国斯隆研究奖。


热忱欢迎广大老师,同学前来参加!