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

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 st...

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Published in:arXiv.org 2021-02
Main Authors: Kilda, Dainius, Biella, Alberto, Schiró, Marco, Fazio, Rosario, Keeling, Jonathan
Format: Article
Language:English
Subjects:
Lattices
Mathematical analysis
Tensors
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2012.03095