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Yang-Lee edge singularity triggered entanglement transition

TitleYang-Lee edge singularity triggered entanglement transition
Publication TypeJournal Article
Year of Publication2021
AuthorsS-K. Jian, Z-C. Yang, Z. Bi, and X. Chen
JournalPhys. Rev. B
Volume104
Date PublishedOCT 11
Type of ArticleArticle
ISSN2469-9950
Abstract

We show that a class of PT 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.

DOI10.1103/PhysRevB.104.L161107