Beijing Institute of Mathematical Sciences and Applications

Linzhe Huang , Zhengwei Liu , Shuang Ming , Sebastien Palcoux , Yilong Wang , Jinsong Wu

Yu-An Chen

Thursday, March 26, 2026 11:00 AM - 12:30 PM

A3-4-301

Zoom 242 742 6089 (BIMSA)

The generalized statistics of particles and extended excitations, such as loops and membranes, play a central role in quantum many-body physics, yet a comprehensive lattice-level framework has been lacking. We introduce a microscopic method for determining these statistics in arbitrary dimensions. The key idea is to move excitations using sequences of local unitary operations and extract the statistical phase from the resulting Berry phase. These sequences are generated automatically from locality constraints via the Smith normal form, requiring no model-specific input. This framework reproduces familiar processes, including particle exchange and loop flipping, and uncovers new self- and mutual-statistics of loop and membrane excitations. The resulting invariants provide concrete lattice realizations of ’t Hooft anomalies, showing that nontrivial statistics obstruct gauging the symmetry and forbid any symmetric short-range-entangled ground state. This yields a generalized Lieb–Schultz–Mattis–type constraint that applies broadly across quantum lattice systems.

References:
1. Generalized Statistics on Lattices R Kobayashi, Y Li, H Xue, PS Hsin, YA Chen, Physical Review X 16 (1), 011010 (2026)
2. Anyonic membranes and Pontryagin statistics Y Feng, H Xue, Y Li, M Cheng, R Kobayashi, PS Hsin, YA Chen, Physical Review Letters 136 (8), 086601 (2026)

陈昱安，北京大学物理学院量子材料科学中心助理教授。2015 年 6 月毕业于美国麻省理工学院，获得数学、物理学学士学位；2020 年 6 月毕业于美国加州理工学院，获得物理学博士学位。曾任谷歌公司量子人工智能（Quantum AI）研究团队研究科学家。2020 年 9月至 2023 年 6 月期间，在美国马里兰大学帕克分校联合量子研究所（JQI）博士后研究员 。2023 年 7 月加入北京大学物理学院。2009年和2010年分别获第40届国际物理奥林匹克竞赛（IPhO）金牌和第51届国际数学奥林匹克竞赛铜牌。