题 目：Emergent conformal Hilbert spaces and geometric excitations in partially filled Chern bands
报告人：杨波(新加坡南洋理工大学)
时 间：2025年12月29日下午2:00
地 点：LE201
邀请人：胡自翔
报告摘要：The fractional quantum Hall (FQH) effect realized in Landau levels is a family of strongly correlated topological quantum fluids in two dimensional space, with exotic low-lying collective excitations that are anyonic and even non-Abelian. Here we propose a unified framework in understanding the integer and fractional quantum Hall systems via Hilbert spaces with emergent conformal symmetry, and show how it can be extended to more general Chern bands with no external magnetic field.The hierarchical structure of the conformal Hilbert spaces (CHS)allows us to reveal intemal structures of anyons, which are "elementary particles" of the CHS,as ell as the dynamical properties of geometric excitations that can mediate the effective interactions between anyons.We discuss the fundamental similarities and differences between Landau levels and generic Chern bands via new analytic tools derived from the CHS, and the experimental relevance of the "high energy physics"in 2D topological systems.
杨波教授，2007年获得斯坦福大学物理和数学双学士学位，2013年普林斯顿大学物理系获博士学位，博士导师为著名物理学家，2016年诺贝尔物理学奖获得者F.D.M.Haldane教授。目前就职于新加坡南洋理工大学物理系，从事强关联凝聚态物理，非线性动力学，城市交通网络等相关研究，在PRL，Nat.Comm.，等发表多篇论文，获得普林斯顿大学Joseph Henry Prize,交通网络Best Paper Award 2016,新加坡NRF Fellow等奖励。