Driven-Dissipative Criticality within the Discrete Truncated Wigner Approximation

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Vijay Pal Singh
  • Hendrik Weimer
View graph of relations

Details

Original languageEnglish
Article number200602
JournalPhysical Review Letters
Volume128
Issue number20
Publication statusPublished - 17 May 2022

Abstract

We present an approach to the numerical simulation of open quantum many-body systems based on the semiclassical framework of the discrete truncated Wigner approximation. We establish a quantum jump formalism to integrate the quantum master equation describing the dynamics of the system, which we find to be exact in both the noninteracting limit and the limit where the system is described by classical rate equations. We apply our method to simulation of the paradigmatic dissipative Ising model, where we are able to capture the critical fluctuations of the system beyond the level of mean-field theory.

Keywords

    cond-mat.stat-mech, physics.comp-ph, quant-ph

ASJC Scopus subject areas

Cite this

Driven-Dissipative Criticality within the Discrete Truncated Wigner Approximation. / Singh, Vijay Pal; Weimer, Hendrik.
In: Physical Review Letters, Vol. 128, No. 20, 200602, 17.05.2022.

Research output: Contribution to journalArticleResearchpeer review

Singh VP, Weimer H. Driven-Dissipative Criticality within the Discrete Truncated Wigner Approximation. Physical Review Letters. 2022 May 17;128(20):200602. doi: 10.48550/arXiv.2108.07273, 10.1103/PhysRevLett.128.200602
Singh, Vijay Pal ; Weimer, Hendrik. / Driven-Dissipative Criticality within the Discrete Truncated Wigner Approximation. In: Physical Review Letters. 2022 ; Vol. 128, No. 20.
Download
@article{a0720c80fabf45789ce60ca8bdbac4d4,
title = "Driven-Dissipative Criticality within the Discrete Truncated Wigner Approximation",
abstract = " We present an approach to the numerical simulation of open quantum many-body systems based on the semiclassical framework of the discrete truncated Wigner approximation. We establish a quantum jump formalism to integrate the quantum master equation describing the dynamics of the system, which we find to be exact in both the noninteracting limit and the limit where the system is described by classical rate equations. We apply our method to simulation of the paradigmatic dissipative Ising model, where we are able to capture the critical fluctuations of the system beyond the level of mean-field theory. ",
keywords = "cond-mat.stat-mech, physics.comp-ph, quant-ph",
author = "Singh, {Vijay Pal} and Hendrik Weimer",
note = "Funding information: This work was funded by the Volkswagen Foundation, by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) within Project-ID 274200144–SFB 1227 (DQ-mat, Project No. A04), SPP 1929 (GiRyd), and under Germany{\textquoteright}s Excellence Strategy–EXC-2123 QuantumFrontiers–390837967.",
year = "2022",
month = may,
day = "17",
doi = "10.48550/arXiv.2108.07273",
language = "English",
volume = "128",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "20",

}

Download

TY - JOUR

T1 - Driven-Dissipative Criticality within the Discrete Truncated Wigner Approximation

AU - Singh, Vijay Pal

AU - Weimer, Hendrik

N1 - Funding information: This work was funded by the Volkswagen Foundation, by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) within Project-ID 274200144–SFB 1227 (DQ-mat, Project No. A04), SPP 1929 (GiRyd), and under Germany’s Excellence Strategy–EXC-2123 QuantumFrontiers–390837967.

PY - 2022/5/17

Y1 - 2022/5/17

N2 - We present an approach to the numerical simulation of open quantum many-body systems based on the semiclassical framework of the discrete truncated Wigner approximation. We establish a quantum jump formalism to integrate the quantum master equation describing the dynamics of the system, which we find to be exact in both the noninteracting limit and the limit where the system is described by classical rate equations. We apply our method to simulation of the paradigmatic dissipative Ising model, where we are able to capture the critical fluctuations of the system beyond the level of mean-field theory.

AB - We present an approach to the numerical simulation of open quantum many-body systems based on the semiclassical framework of the discrete truncated Wigner approximation. We establish a quantum jump formalism to integrate the quantum master equation describing the dynamics of the system, which we find to be exact in both the noninteracting limit and the limit where the system is described by classical rate equations. We apply our method to simulation of the paradigmatic dissipative Ising model, where we are able to capture the critical fluctuations of the system beyond the level of mean-field theory.

KW - cond-mat.stat-mech

KW - physics.comp-ph

KW - quant-ph

UR - http://www.scopus.com/inward/record.url?scp=85131463973&partnerID=8YFLogxK

U2 - 10.48550/arXiv.2108.07273

DO - 10.48550/arXiv.2108.07273

M3 - Article

VL - 128

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 20

M1 - 200602

ER -