On the stability of the infinite Projected Entangled Pair Operator ansatz for driven-dissipative 2D lattices
Dainius Kilda, Alberto Biella, Marco Schirò, Rosario Fazio, Jonathan Keeling
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. 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.
Topics & Concepts
AnsatzOperator (biology)Dimension (graph theory)Stability (learning theory)PhysicsWork (physics)Quantum entanglementStatistical physicsMathematicsMathematical physicsQuantum mechanicsSpectrum (functional analysis)Quantum many-body systemsModel Reduction and Neural NetworksTensor decomposition and applications