Berlin 2018 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 40: Dual-Method Approaches to Quantum Many-Body Systems II

TT 40.2: Talk

Tuesday, March 13, 2018, 10:15–10:30, H 3010

A simple tensor network algorithm for 2d steady states — •Roman Orus — Johannes Gutenberg-Universität, Mainz, Germany

Here we present a tensor network algorithm that approximates steady-states of 2d quantum lattice dissipative systems in the thermodynamic limit. The implementation of our method is remarkably simple and efficient. We prove the validity of the approach by computing the steady states of dissipative quantum Ising and XYZ models, relevant to address controversies in dissipative systems of interacting Rydberg atoms, and benchmark our simulations with a variational algorithm based on product and correlated states. Our results support the existence of a first order transition in the dissipative Ising model, while we find no evidence for a bistable region.