On the stability of the infinite Projected Entangled Pair Operator ansatz for driven-dissipative 2D lattices
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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. 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.
Kilda , D , Biella , A , Schiró , M , Fazio , R & Keeling , J 2021 , ' On the stability of the infinite Projected Entangled Pair Operator ansatz for driven-dissipative 2D lattices ' , SciPost Physics Core , vol. Core 4 , 005 . https://doi.org/10.21468/SciPostPhysCore.4.1.005
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Copyright 2021 D. Kilda et al. This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation.
DescriptionFunding: DK acknowledges support from the EPSRC Condensed Matter Centre for Doctoral Training (EP/L015110/1); this research was supported in part by the National Science Foundation under Grant No. NSF PHY11-25915. AB acknowledges funding by LabEx PALM (ANR-10-LABX-0039-PALM).
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