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On the stability of the infinite Projected Entangled Pair Operator ansatz for driven-dissipative 2D lattices
SciPost Physics ( IF 4.6 ) Pub Date : 2021-02-24 , DOI: 10.21468/scipostphyscore.4.1.005
Dainius Kilda 1 , Alberto Biella 2, 3 , Marco Schiro 2, 4 , Rosario Fazio 5, 6 , Jonathan Keeling 7
Affiliation  

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.

中文翻译:

关于驱动耗散二维晶格的无限投影纠缠对算子ansatz的稳定性

我们介绍了使用无穷投影纠缠对算子(iPEPO)方法计算驱动耗散XYZ模型的时间演化,由[A. Kshetrimayum,H。Weimer和R.Orús,国家。社区 8,1291(2017)]。我们探索这种方法达到稳定状态的条件。特别是,我们研究了随着张量网络ansatz键尺寸的增加,显然收敛的计算可能变得不稳定的条件。我们讨论如何获得更可靠的结果。
更新日期:2021-02-24
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