Laughlin States Change Under Large Geometry Deformations and Imaginary Time Hamiltonian Dynamics

Communications in Mathematical Physics(2022)

引用 0|浏览2
暂无评分
摘要
We study the dependence of the Laughlin states on the geometry of the sphere and the plane, for one-parameter Mabuchi geodesic families of curved metrics with Hamiltonian S^1 -symmetry. For geodesics associated with convex functions of the symmetry generator, as the geodesic time goes to infinity, the geometry of the sphere becomes that of a thin cigar collapsing to a line and the Laughlin states become concentrated on a discrete set of S^1 -orbits, corresponding to Bohr–Sommerfeld orbits of geometric quantization.
更多
查看译文
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要