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

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dc.contributor.authorKilda, Dainius
dc.contributor.authorBiella, Alberto
dc.contributor.authorSchiró, Marco
dc.contributor.authorFazio, Rosario
dc.contributor.authorKeeling, Jonathan
dc.date.accessioned2021-02-25T11:30:02Z
dc.date.available2021-02-25T11:30:02Z
dc.date.issued2021-02-24
dc.identifier.citationKilda , 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.4.1.005en
dc.identifier.issn2666-9366
dc.identifier.otherPURE: 272893982
dc.identifier.otherPURE UUID: e2530257-2898-44d9-9be1-d41b9a4d1dbd
dc.identifier.otherArXiv: http://arxiv.org/abs/2012.03095v2
dc.identifier.otherORCID: /0000-0002-4283-552X/work/89628048
dc.identifier.otherScopus: 85106091571
dc.identifier.otherWOS: 000853243300005
dc.identifier.urihttps://hdl.handle.net/10023/21506
dc.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).en
dc.description.abstractWe 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.
dc.format.extent19
dc.language.isoeng
dc.relation.ispartofSciPost Physics Coreen
dc.rightsCopyright 2021 D. Kilda et al. This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation.en
dc.subjectQC Physicsen
dc.subjectTK Electrical engineering. Electronics Nuclear engineeringen
dc.subjectT-NDASen
dc.subject.lccQCen
dc.subject.lccTKen
dc.titleOn the stability of the infinite Projected Entangled Pair Operator ansatz for driven-dissipative 2D latticesen
dc.typeJournal articleen
dc.description.versionPublisher PDFen
dc.contributor.institutionUniversity of St Andrews. School of Physics and Astronomyen
dc.contributor.institutionUniversity of St Andrews. Centre for Designer Quantum Materialsen
dc.contributor.institutionUniversity of St Andrews. Condensed Matter Physicsen
dc.identifier.doihttps://doi.org/10.21468/SciPostPhysCore.4.1.005
dc.description.statusPeer revieweden
dc.identifier.urlhttps://scipost.org/preprints/scipost_202012_00006v2/en


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