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

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arxiv 2012.03095 v2 pith:RAPCGLWK submitted 2020-12-05 cond-mat.other quant-ph

Dainius Kilda , Alberto Biella , Marco Schiró , Rosario Fazio , Jonathan Keeling This is my paper
classification cond-mat.otherquant-ph
keywords ansatzcalculationsconditionsdriven-dissipativeentangledinfiniteoperatorpair
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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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