- YMSC-BIMSA量子信息讨论班

Topological Orders from Frustration-free Hamiltonians with Reflection Positivity

组织者

程嵩 , 刘锦鹏 , 刘正伟 , 刘子文

演讲者

赵子烁

时间

2025年12月05日 16:00 至 17:30

地点

Shuangqing-B627

线上

Zoom 230 432 7880 (BIMSA)

摘要

We establish a framework with reflection positivity as the first principle to study topologically ordered quantum spin systems. For any reflection positive frustration-free Hamiltonian, we proved that the local topological quantum order (LTQO) condition of ground states on a disk holds if and only if the ground state on the sphere is non-degenerate. Furthermore, we show that the Osterwalder-Schrader reconstruction produces the boundary local net of operator algebras. Interestingly, the modular group generated by the entanglement Hamiltonian of the ground state factorizes when restricted to the boundary algebras. The talk is based on the joint work with Zhengwei Liu (arXiv:2510.20662).