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

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

SciPost Phys. Core 4, 005 (2021) · published 24 February 2021

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.


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