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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) https://resolver.caltech.edu/CaltechAUTHORS:20210106-131327885

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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. 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.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://scipost.org/submissions/scipost_202012_00006v1/PublisherArticle
http://arxiv.org/abs/2012.03095arXivDiscussion Paper
https://github.com/The-iPEPO-Project/iPEPORelated ItemCode
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.
Funders:
Funding AgencyGrant Number
Engineering and Physical Sciences Research Council (EPSRC)EP/L015110/1
Kavli Institute for Theoretical PhysicsUNSPECIFIED
NSFPHY11-25915
Record Number:CaltechAUTHORS:20210106-131327885
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20210106-131327885
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ID Code:107350
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:08 Jan 2021 22:17
Last Modified:08 Jan 2021 22:17

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