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Entanglement spectrum and entropy in Floquet topological matter

09/06 2022 Seminar
  • Title Entanglement spectrum and entropy in Floquet topological matter
  • Speaker 周龙文 (中国海洋大学)
  • Date 2022年9月6日 15:30
  • Venue 腾讯会议: 会议号:727 873 067,会议密码:7292
  • Abstract

    Entanglement is one of the most fundamental features of quantum systems.

    In this talk, we explore the entanglement spectrum and entropy of Floquet noninteracting fermionic lattice models and build their connections with Floquet topological phases. Topological winding and Chern numbers are introduced to characterize the entanglement spectrum and eigenmodes. Correspondences between the spectrum and topology of Floquet entanglement Hamiltonians under periodic boundary conditions and topological edge states under open boundary conditions are established. The theory is applied to Floquet topological insulators in different symmetry classes and spatial dimensions. Our work provides a solid foundation for the study of rich entanglement patterns in Floquet topological matter.