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

Dainius Kilda , Alberto Biella (1) , Marco Schiro (2) , Rosario Fazio (3) , Jonathan Keeling

1 LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques
2 JEIPCdF - Jeunes Équipes de l'Institut de Physique du Collège de France
3 ICTP - Abdus Salam International Centre for Theoretical Physics [Trieste]

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.

Domaines: Physique [physics]

Dainius Kilda, Alberto Biella, Marco Schiro, Rosario Fazio, Jonathan Keeling. On the stability of the infinite Projected Entangled Pair Operator ansatz for driven-dissipative 2D lattices. SciPost Physics, 2021, 4, ⟨10.21468/scipostphyscore.4.1.005⟩. ⟨hal-03425657⟩