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。

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