On the stability of the infinite Projected Entangled Pair Operator ansatz for driven-dissipative 2D lattices
Other Condensed Matter
2021-06-03 v2 Quantum Physics
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. Or\'us, 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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@article{arxiv.2012.03095,
title = {On the stability of the infinite Projected Entangled Pair Operator ansatz for driven-dissipative 2D lattices},
author = {Dainius Kilda and Alberto Biella and Marco Schiró and Rosario Fazio and Jonathan Keeling},
journal= {arXiv preprint arXiv:2012.03095},
year = {2021}
}
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