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

Kilda, D. and Biella, A. and Schiró, M. and Fazio, R. and Keeling, J. (2020) On the stability of the infinite Projected Entangled Pair Operator ansatz for driven-dissipative 2D lattices. SciPost Physics . ISSN 2542-4653. (In Press)

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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.

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Additional Information:Attribution 4.0 International (CC BY 4.0). We acknowledge helpful discussions with Marzena Szymańska, Conor McKeever, and Andrew Daley. We are grateful for comments from Augustine Kshetrimayum on an earlier version of this manuscript. Author contributions. The calculations presented here were performed by DK, using code developed by DK with contributions from AB. The project was initially conceived by JK and RF. All authors contributed to the writing of the manuscript. DK acknowledges support from the EPSRC Condensed Matter Centre for Doctoral Training (EP/L015110/1). JK, RF and AB acknowledge the Kavli Institute for Theoretical Physics, University of California, Santa Barbara (USA) for the hospitality and support during the early stages of this work; this research was supported in part by the National Science Foundation under Grant No. NSF PHY11-25915.
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Engineering and Physical Sciences Research Council (EPSRC)EP/L015110/1
Kavli Institute for Theoretical PhysicsUNSPECIFIED
Record Number:CaltechAUTHORS:20210106-131327885
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:107350
Deposited By: George Porter
Deposited On:08 Jan 2021 22:17
Last Modified:08 Jan 2021 22:17

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