报告人：Jie Wang, Assistant Professor（Peking University）   

报告内容：

Geometry is a fundamental mathematical concept that also plays a crucial role in characterizing the local properties of quantum states, including both pure and mixed states. Pure state geometry, often referred to as wavefunction geometry, is known to be important in many areas of zero-temperature condensed matter physics, such as the anomalous Hall effect and electron localization. Mixed state geometry, or density matrix geometry, is essential in quantum information science, with applications in quantum metrology and entanglement witnessing. In this talk, I will begin by reviewing quantum geometry, encompassing both pure and mixed stats, and clarify the relationship between them. I will then discuss how wavefunction geometry is useful for characterizing fractional Chern insulators, with applications in moiré materials. Finally, I will show how density matrix geometry leads to families of exact sum rules. 

报告人简介：

Jie Wang is currently assistant professor at ICQM, Peking University. He served as assistant professor in the department of physics at Temple University from Jan 2024 to July 2025. Before that, he did postdoc research at Harvard University and Flatiron institute from 2019 to 2023. He obtained his P.h.D. degree at Princeton University at 2019, and bachlor degree from USTC at 2013. His research interest is theory of strongly correlated topological quantum materials. 

主持人：陈默涵 研究员（北京大学应用物理与技术研究中心）

时  间：2025年12月25日（周四）12:20

地  点：北京大学工学院1号楼210会议室