BIMSA > Category and Topological Order Seminar Category and Topological Order Seminar One dimensional gapped quantum phases and enriched fusion categories
One dimensional gapped quantum phases and enriched fusion categories
Organizer
Hao Zheng
Speaker
Liang Kong
Time
Tuesday, December 21, 2021 1:30 PM - 3:00 PM
Venue
1131
Online
Tencent 776 6095 6243 ()
Abstract
The notion of a quantum phase is a macroscopic one. In this talk, I will show that the macroscopic observables in two gapped quantum phases realized by the Ising chain form two enriched fusion categories. Generalizing to arbitrary finite onsite symmetries, we immediately recover the well-known classification of all 1-dimensional gapped quantum phases. This is a joint work with Xiao-Gang Wen and Hao Zheng.
Speaker Intro
Liang Kong is a Professor of Mathematics at SUSTC (Shenzhen University of Science and Technology), specializing in Mathematical Physics. His research focuses on topological field theories, 2d conformal field theories, category theory, representation theory, and topological phases of matter. Kong earned his Ph.D. in Mathematics from Rutgers University in 2005. He has contributed significantly to the study of open-string vertex algebras, modular invariance, and topological orders in physics. His notable publications include works in journals such as Comm. Math. Phys., Adv. Math., and Phys. Rev. B. Kong has collaborated extensively with researchers like Yi-Zhi Huang, Ingo Runkel, and Xiao-Gang Wen, advancing the mathematical framework behind quantum field theory and topological phases.