Berlin 2012 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 37: Matter At Low Temperature: Quantum Liquids, Bose-Einstein Condensates, Ultra-cold Atoms, ... 2

TT 37.2: Talk

Thursday, March 29, 2012, 09:45–10:00, H 3005

Dissipative and Finite Temperature Dynamics using Vidals Superoperator Renormalization — •Lars Bonnes and Andreas Läuchli — Institut für Theoretische Physik, Universität Innsbruck, Österreich

The study of dynamical properties of quantum systems has gained new momentum through the progress made in the preparation of and control of low dimensional quantum system in ultra cold atomic and molecular gases. Matrix product state bases methods such as the density matrix renormalization group have proven invaluable for the numerical study of the ground-state properties as well as the (non- equilibrium) dynamics of one dimensional systems. Using the superoperator renormalization algorithm by Zwolak and Vidal [PRL 93, 207205 (2004)], one has access to the full dynamics of a density matrix such that one can incorporate not only non-zero temperatures but also dissipative dynamics given by a Lindblad equation.

We present results on finite-temperature quench dynamics as well as the dissipative dynamics of a Bose- Hubbard model using an efficient quantum number enabled implemention. We then address question of ballistic versus diffusive spreading of correlations and the entanglement properties of the finite-temperature states.