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

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

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

Access to Document

10.21468/SciPostPhysCore.4.1.005

Cite this

@article{bcd8e71719814337b2ac62920a020911,

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

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",

note = "Publisher Copyright: Copyright D. Kilda et al.",

year = "2021",

month = jan,

day = "1",

doi = "10.21468/SciPostPhysCore.4.1.005",

language = "English",

volume = "4",

journal = "SciPost Physics Core",

issn = "2666-9366",

number = "1",

}

TY - JOUR

T1 - On the stability of the infinite Projected Entangled Pair Operator ansatz for driven-dissipative 2D lattices

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.

U2 - 10.21468/SciPostPhysCore.4.1.005

DO - 10.21468/SciPostPhysCore.4.1.005

M3 - Article

AN - SCOPUS:85106091571

SN - 2666-9366

VL - 4

JO - SciPost Physics Core

JF - SciPost Physics Core

IS - 1

M1 - 005

ER -

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

Abstract

Access to Document

Fingerprint

Cite this