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

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

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.

Original language	English
Article number	005
Journal	SciPost Physics Core
Volume	4
Issue number	1
DOIs	https://doi.org/10.21468/SciPostPhysCore.4.1.005
Publication status	Published - 1 Jan 2021
Externally published	Yes

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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.",

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AU - Kilda, Dainius

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

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