Entanglement area law in strongly-correlated systems

Dr. Jae Yoon Cho, POSTECH

Dec. 9(Fri), 1:30 p.m. #1323(E6-2. 1st fl.)

Understanding the nature of entanglement in strongly-correlated systems is of prime importance in modern theoretical physics. In this talk, I introduce the concept of entanglement entropies and the entanglement area law, and briefly review their implications in various topical issues. I then introduce a number of cases wherein the entanglement entropy can be analytically calculated, estimated, or bounded. In particular, I will discuss how the spectral gap, correlation functions, and the entanglement area law in strongly-correlated systems are mutually related to each other, briefly introducing a few essential mathematical tools, especially, the Lieb-Robinson bound. Then, I will discuss, if the time permits, how to calculate the entanglement entropies in conformal/topological field theories and anyon models. 

Contact: MyungJoon Han, Physics Dept., (mj.han@kaist.ac.kr)