The Kibble-Zurek mechanism at exceptional points

B. Dóra, Markus Heyl, Roderich Moessner

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Exceptional points (EPs) are ubiquitous in non-Hermitian systems, and represent the complex counterpart of critical points. By driving a system through a critical point at finite rate induces defects, described by the Kibble-Zurek mechanism, which finds applications in diverse fields of physics. Here we generalize this to a ramp across an EP. We find that adiabatic time evolution brings the system into an eigenstate of the final non-Hermitian Hamiltonian and demonstrate that for a variety of drives through an EP, the defect density scales as τ −(d + z)ν/(zν + 1) in terms of the usual critical exponents and 1/τ the speed of the drive. Defect production is suppressed compared to the conventional Hermitian case as the defect state can decay back to the ground state close to the EP. We provide a physical picture for the studied dynamics through a mapping onto a Lindblad master equation with an additionally imposed continuous measurement.

Original languageEnglish
Article number2254
JournalNature communications
Volume10
Issue number1
DOIs
Publication statusPublished - Dec 1 2019

Fingerprint

Architectural Accessibility
Physics
Defects
defects
Hamiltonians
critical point
Defect density
Ground state
ramps
eigenvectors
exponents
physics
ground state
decay

ASJC Scopus subject areas

  • Chemistry(all)
  • Biochemistry, Genetics and Molecular Biology(all)
  • Physics and Astronomy(all)

Cite this

The Kibble-Zurek mechanism at exceptional points. / Dóra, B.; Heyl, Markus; Moessner, Roderich.

In: Nature communications, Vol. 10, No. 1, 2254, 01.12.2019.

Research output: Contribution to journalArticle

Dóra, B. ; Heyl, Markus ; Moessner, Roderich. / The Kibble-Zurek mechanism at exceptional points. In: Nature communications. 2019 ; Vol. 10, No. 1.
@article{deb65c5f004d49ba9c1855f5a03b0d98,
title = "The Kibble-Zurek mechanism at exceptional points",
abstract = "Exceptional points (EPs) are ubiquitous in non-Hermitian systems, and represent the complex counterpart of critical points. By driving a system through a critical point at finite rate induces defects, described by the Kibble-Zurek mechanism, which finds applications in diverse fields of physics. Here we generalize this to a ramp across an EP. We find that adiabatic time evolution brings the system into an eigenstate of the final non-Hermitian Hamiltonian and demonstrate that for a variety of drives through an EP, the defect density scales as τ −(d + z)ν/(zν + 1) in terms of the usual critical exponents and 1/τ the speed of the drive. Defect production is suppressed compared to the conventional Hermitian case as the defect state can decay back to the ground state close to the EP. We provide a physical picture for the studied dynamics through a mapping onto a Lindblad master equation with an additionally imposed continuous measurement.",
author = "B. D{\'o}ra and Markus Heyl and Roderich Moessner",
year = "2019",
month = "12",
day = "1",
doi = "10.1038/s41467-019-10048-9",
language = "English",
volume = "10",
journal = "Nature Communications",
issn = "2041-1723",
publisher = "Nature Publishing Group",
number = "1",

}

TY - JOUR

T1 - The Kibble-Zurek mechanism at exceptional points

AU - Dóra, B.

AU - Heyl, Markus

AU - Moessner, Roderich

PY - 2019/12/1

Y1 - 2019/12/1

N2 - Exceptional points (EPs) are ubiquitous in non-Hermitian systems, and represent the complex counterpart of critical points. By driving a system through a critical point at finite rate induces defects, described by the Kibble-Zurek mechanism, which finds applications in diverse fields of physics. Here we generalize this to a ramp across an EP. We find that adiabatic time evolution brings the system into an eigenstate of the final non-Hermitian Hamiltonian and demonstrate that for a variety of drives through an EP, the defect density scales as τ −(d + z)ν/(zν + 1) in terms of the usual critical exponents and 1/τ the speed of the drive. Defect production is suppressed compared to the conventional Hermitian case as the defect state can decay back to the ground state close to the EP. We provide a physical picture for the studied dynamics through a mapping onto a Lindblad master equation with an additionally imposed continuous measurement.

AB - Exceptional points (EPs) are ubiquitous in non-Hermitian systems, and represent the complex counterpart of critical points. By driving a system through a critical point at finite rate induces defects, described by the Kibble-Zurek mechanism, which finds applications in diverse fields of physics. Here we generalize this to a ramp across an EP. We find that adiabatic time evolution brings the system into an eigenstate of the final non-Hermitian Hamiltonian and demonstrate that for a variety of drives through an EP, the defect density scales as τ −(d + z)ν/(zν + 1) in terms of the usual critical exponents and 1/τ the speed of the drive. Defect production is suppressed compared to the conventional Hermitian case as the defect state can decay back to the ground state close to the EP. We provide a physical picture for the studied dynamics through a mapping onto a Lindblad master equation with an additionally imposed continuous measurement.

UR - http://www.scopus.com/inward/record.url?scp=85065991836&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85065991836&partnerID=8YFLogxK

U2 - 10.1038/s41467-019-10048-9

DO - 10.1038/s41467-019-10048-9

M3 - Article

C2 - 31113948

AN - SCOPUS:85065991836

VL - 10

JO - Nature Communications

JF - Nature Communications

SN - 2041-1723

IS - 1

M1 - 2254

ER -