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

Dainius Kilda; Alberto Biella; Marco Schiró; Rosario Fazio; Jonathan Keeling

doi:10.21468/SciPostPhysCore.4.1.005

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

Dainius Kilda
, Alberto Biella
, Marco Schiró
, Rosario Fazio
, Jonathan Keeling

Division of Chemistry and Chemical Engineering
Université Paris-Saclay
Collège de France
Abdus Salam International Centre for Theoretical Physics
University of Naples Federico II
University of St Andrews

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Numéro d'article	005
journal	SciPost Physics Core
Volume	4
Numéro de publication	1
Les DOIs	https://doi.org/10.21468/SciPostPhysCore.4.1.005
état	Publié - 1 janv. 2021
Modification externe	Oui

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10.21468/SciPostPhysCore.4.1.005

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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. Or{\'u}s, 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.",

author = "Dainius Kilda and Alberto Biella and Marco Schir{\'o} and Rosario Fazio and Jonathan Keeling",

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AU - Biella, Alberto

AU - Schiró, Marco

AU - Fazio, Rosario

AU - Keeling, Jonathan

N1 - Publisher Copyright: Copyright D. Kilda et al.

PY - 2021/1/1

Y1 - 2021/1/1

N2 - 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.

AB - 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.

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

Résumé

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