Regensburg 2013 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 1: Quantum Dynamics, Decoherence and Quantum Information I

DY 1.1: Vortrag

Montag, 11. März 2013, 09:30–09:45, H39

Iterated Mori projector (IMoP) approach for driven dissipative quantum many body systems — •Peter Degenfeld-Schonburg and Michael J. Hartmann — Technische Universität München, Physik Department I, James Franck Str., 85748 Garching, Germany

We report on a pertubative method for driven dissipative quantum many body systems on a lattice that goes beyond Meanfield. Our approach is based on the Mori projection operator technique where we treat a single lattice site as the system of interest and trace out the dynamical many body environment comprised of all remaining lattice sites. The resulting on-site master equation describes the dynamics up to second order in the hopping. To account for a dynamical environment the master equation is solved iteratively. We apply our methods to arrays of coupled non-linear harmonic oscillators, i.e. to a Bose Hubbard model, in a driven and dissipative regime and numerically show the advantage of IMoP over Meanfield.