On the stability of the infinite Projected Entangled Pair Operator ansatz for driven-dissipative 2D lattices
Year: 2021
Authors: Kilda D., Biella A., Schiru M., Fazio R., Keeling J.
Autors Affiliation: CALTECH, Div Chem & Chem Engn, Pasadena, CA 91125 USA; Univ Paris Saclay, LPTMS, CNRS, F-91405 Orsay, France; PSL Res Univ, JEIP, USR CNRS 3573, Coll France, 11 Pl Marcelin Berthelot, F-75321 Paris 05, France; Univ Paris Saclay, Inst Phys Theor, CNRS, CEA, F-91191 Gif Sur Yvette, France; Abdus Salam Int Ctr Theoret Phys, Str Costiera 11, I-34151 Trieste, Italy; Univ Napoli Federico II, Dipartimento Fis, I-80126 Naples, Italy; Univ St Andrews, SUPA, Sch Phys & Astron, St Andrews KY16 9SS, Fife, Scotland.
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. Orus, 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.
Journal/Review: SCIPOST PHYSICS CORE
Volume: 4 (1) Pages from: 5-1 to: 5-19
More Information: 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. AB acknowledges funding by LabEx PALM (ANR-10-LABX-0039-PALM).KeyWords: Matrix Renormalization-group; Product StatesDOI: 10.21468/SciPostPhysCore.4.1.005Citations: 4data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-10-20References taken from IsiWeb of Knowledge: (subscribers only)