Yang-Lee edge singularity triggered entanglement transition

Shao Kai Jian, Zhi Cheng Yang, Zhen Bi, Xiao Chen

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

We show that a class of symmetric non-Hermitian Hamiltonians realizing the Yang-Lee edge singularity exhibits an entanglement transition in the long-time steady state evolved under the Hamiltonian. Such a transition is induced by a level crossing triggered by the critical point associated with the Yang-Lee singularity and hence is first order in nature. At the transition, the entanglement entropy of the steady state jumps discontinuously from a volume-law to an area-law scaling. We exemplify this mechanism using a one-dimensional transverse field Ising model with additional imaginary fields, as well as the spin-1 Blume-Capel model and the three-state Potts model. We further make a connection to the forced-measurement induced entanglement transition in a Floquet nonunitary circuit subject to continuous measurements followed by post-selections. Our results demonstrate a new mechanism for entanglement transitions in non-Hermitian systems harboring a critical point.

Original languageEnglish (US)
Article numberL161107
JournalPhysical Review B
Volume104
Issue number16
DOIs
StatePublished - Oct 15 2021

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Fingerprint

Dive into the research topics of 'Yang-Lee edge singularity triggered entanglement transition'. Together they form a unique fingerprint.

Cite this