On the stability of the infinite Projected Entangled Pair Operator ansatz for driven-dissipative 2D lattices-Reference-Cited by-同舟云学术

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

Published:2021-02-24 Issue:1 Volume:4 Page:
ISSN:2666-9366
Container-title:SciPost Physics Core
language:
Short-container-title:SciPost Phys. Core

Author:

Kilda Dainius¹,Biella Alberto²³,Schiro Marco²⁴,Fazio Rosario⁵⁶,Keeling Jonathan⁷

Affiliation:

1. California Institute of Technology

2. Collège de France

3. University of Paris-Saclay

4. L'Institut de physique théorique

5. Abdus Salam International Centre for Theoretical Physics

6. University of Naples Federico II

7. 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.

Funder

Agence Nationale de la Recherche

Engineering and Physical Sciences Research Council

National Science Foundation

Publisher

Stichting SciPost

Link

https://scipost.org/10.21468/SciPostPhysCore.4.1.005/pdf

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