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Yang-Lee edge singularity triggered entanglement transition
- Source :
- Physical Review B. 104
- Publication Year :
- 2021
- Publisher :
- American Physical Society (APS), 2021.
-
Abstract
- We show that a class of $\mathcal{PT}$ 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 non-unitary 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.<br />Updated to published version
- Subjects :
- Physics
Quantum Physics
Strongly Correlated Electrons (cond-mat.str-el)
Statistical Mechanics (cond-mat.stat-mech)
FOS: Physical sciences
Quantum entanglement
Condensed Matter - Strongly Correlated Electrons
symbols.namesake
Singularity
Critical point (thermodynamics)
Excited state
Quantum mechanics
symbols
Ising model
Quantum Physics (quant-ph)
Ground state
Hamiltonian (quantum mechanics)
Condensed Matter - Statistical Mechanics
Potts model
Subjects
Details
- ISSN :
- 24699969 and 24699950
- Volume :
- 104
- Database :
- OpenAIRE
- Journal :
- Physical Review B
- Accession number :
- edsair.doi.dedup.....f4d804e0a986c2861bf253b8c4cedfb8