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arXiv · 2012.03095

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
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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\'us, 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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Dainius Kilda, Alberto Biella, Marco Schiró, Rosario Fazio, Jonathan Keeling. 2020-12-05. On the stability of the infinite Projected Entangled Pair Operator ansatz for driven-dissipative 2D lattices. https://doi.org/10.21468/scipostphyscore.4.1.005

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