Entanglement spectrum and entropy in non-Hermitian systems

ORAL

Abstract

In this talk, we study both the entanglement spectrum and the entanglement entropy by use of a biothogonal basis in non-Hermitian free fermion systems. We show the entanglement spectrum can characterize topological features in the non-Hermitian Su-Schrieffer-Heeger model with parity and time reversal symmetry. In addition, we find the entanglement entropy at the critical point of this model has a logarithmic scaling with corresponding central charge c=-2, which can be described by the non-unitary conformal field theory.

*P.-Y.C. was supported by the Young Scholar Fellowship Program by Ministry of Science and Technology (MOST) in Taiwan, under MOST Grant for the Einstein Program MOST 108-2636-M-007-004. X.W. is supported by the Gordon and Betty Moore Foundations EPiQS initiative through Grant No. GBMF 4303 at MIT. S.R. is supported in part by the National Science Foundation under Grant No. DMR-1455296, and by a Simons Investigator Grant from the Simons Foundation.

Presenters

  • Po-Yao Chang

    • National Tsing Hua University Taiwan
    • Department of Physics, National Tsing Hua University

Authors

  • Po-Yao Chang

    • National Tsing Hua University Taiwan
    • Department of Physics, National Tsing Hua University
  • Jhih-Shih You

    • IFW Dresden
  • Xueda Wen

    • Massachusetts Institute of Technology
    • Department of Physics, Massachusetts Institute of Technology
  • Shinsei Ryu

    • University of Chicago