Title: Integrability and chaos of 1+1dchiral edge states
Lecturer: Biao Lian,assistant professor from Princeton University
Inviter: Professor Gang Xu, Wuhan MFC
Timeslot: 9:30-11:00 am on Jan 11,2022
Venue: Tecent Conference online(Conference No.: 889 319 659)
Speech abstract:
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.
Lecturer instruction:
Lian Biao is an assistant professor in the Physics Department at Princeton University.He received his bachelor's degree in physics from Tsinghua University in 2012 and his Ph. D. degree in physics from Stanford University in 2017. His research interests include the theoretical study of topological phases of matter, quantum Hall systems, low dimensional strong interaction systems, entanglement of multi-body systems, and quantum dynamics. He won the Sloan Research Award in 2021.
Thank you for your enthusiastic participation!
