Dresden 2017 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 19: Poster Session: Correlated Electrons 1
TT 19.63: Poster
Montag, 20. März 2017, 15:00–19:00, P2-EG
A simple tensor network algorithm for 2d steady states — •Augustine Kshetrimayum1, Hendrik Weimer2, and Román Orús1 — 1Institute of Physics, Johannes Gutenberg University, 55099 Mainz, Germany — 2Insitut für Theoretische Physik, Leibniz Universität Hannover, AppelStrasse 2, 30167 Hannover, Germany
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 a dissipative quantum Ising model, 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 method is the first implementation of the calculation of steady states in 2d for quantum lattice systems with tensor networks.