CaltechAUTHORS
Published February 24, 2021 | Version Submitted + Published
Journal Article Open

On the stability of the infinite Projected Entangled Pair Operator ansatz for driven-dissipative 2D lattices

Creators

  • 1. ROR icon California Institute of Technology
  • 2. ROR icon Collège de France
  • 3. ROR icon University of Paris-Saclay
  • 4. ROR icon L'Institut de physique théorique
  • 5. ROR icon International Centre for Theoretical Physics
  • 6. ROR icon University of Naples Federico II
  • 7. ROR icon University of St Andrews

Abstract

We present calculations of the time-evolution of the driven-dissipative XYZ model using the infinite Projected Entangled Pair Operator (iPEPO) method, introduced by [A. Kshetrimayum, H. Weimer and R. Orús, Nat. Commun. 8, 1291 (2017)]. We explore the conditions under which this approach reaches a steady state. In particular, we study the conditions where apparently converged calculations may become unstable with increasing bond dimension of the tensor-network ansatz. We discuss how more reliable results could be obtained.

Additional Information

© 2021 D. Kilda et al. This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation. Received 10-12-2020; Accepted 12-02-2021; Published 24-02-2021. We acknowledge helpful discussions with Marzena Szymánska, Conor McKeever, and Andrew Daley. We are grateful for comments from Augustine Kshetrimayum on an earlier version of this manuscript. Author contributions: The calculations presented here were performed by DK, using code developed by DK with contributions from AB. The project was initially conceived by JK and RF. All authors contributed to the writing of the manuscript. DK acknowledges support from the EPSRC Condensed Matter Centre for Doctoral Training (EP/L015110/1). JK, RF and AB acknowledge the Kavli Institute for Theoretical Physics, University of California, Santa Barbara (USA) for the hospitality and support during the early stages of this work; this research was supported in part by the National Science Foundation under Grant No. NSF PHY11-25915. AB acknowledges funding by LabEx PALM (ANR-10-LABX-0039-PALM).

Attached Files

Published - SciPostPhysCore_4_1_005.pdf

Submitted - 2012.03095.pdf

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2012.03095.pdf

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Additional details

Identifiers

Eprint ID
107350
Resolver ID
CaltechAUTHORS:20210106-131327885

Related works

Describes
http://arxiv.org/abs/2012.03095 (URL)
https://github.com/The-iPEPO-Project/iPEPO (URL)

Funding

Engineering and Physical Sciences Research Council (EPSRC)
EP/L015110/1
Kavli Institute for Theoretical Physics
NSF
PHY11-25915
Agence Nationale pour la Recherche (ANR)
ANR-10-LABX-0039-PALM

Dates

Created
2021-01-08
Created from EPrint's datestamp field
Updated
2023-06-01
Created from EPrint's last_modified field