Hao Zheng

Liang Kong

Tuesday, December 21, 2021 1:30 PM - 3:00 PM

1131

Tencent 776 6095 6243 ()

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.

Liang Kong is a mathematical physicist at the Shenzhen International Quantum Academy. His research focuses on topological quantum field theory, two-dimensional conformal field theory, category theory, representation theory, and topological phases of matter. He received his B.S. in Physics from the University of Science and Technology of China, his M.S. in Physics from the University of Houston, and his Ph.D. in Mathematics from Rutgers University. He subsequently held research positions at the Max Planck Institute for Mathematics, the Institut des Hautes Études Scientifiques (IHÉS), and the California Institute of Technology. He later held positions at the Institute for Advanced Study at Tsinghua University, the University of New Hampshire, Harvard University’s Center of Mathematical Sciences and Applications, the Yau Mathematical Sciences Center at Tsinghua University, and the Institute for Quantum Science and Engineering at the Southern University of Science and Technology. He joined the Shenzhen International Quantum Academy in 2025.