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
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Lattices
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Biella, Alberto
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Keeling, Jonathan
description 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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Tensors
title On the stability of the infinite Projected Entangled Pair Operator ansatz for driven-dissipative 2D lattices
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