Dresden 2014 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 79: Correlated Electrons - Poster Session

TT 79.74: Poster

Mittwoch, 2. April 2014, 15:00–19:00, P2

Stochastic mean-field approach to non-equilibrium dynamics of correlated systems — Christopher Hinz, •Sebastian Hermanns, and Michael Bonitz — ITAP, Christian-Albrechts-Universität Kiel, Leibnizstraße 15, 24098 Kiel

One major obstacle for the simulation of strongly interacting many-particle systems is the exponential growth of the state space with the number of particles—the so-called curse of dimensionality. One possibility to mitigate this problem is the application of the stochastic formulation of quantum mechanics. Within this framework, one can impose approximations on the ensemble and the equations of motion. An example for such an approximate treatment is the stochastic mean-field method (SMF) [1,2], which aims at embedding some of the correlations into the initial ensemble, while using the time-dependent Hartree-Fock method to propagate different stochastic realizations of the system independently of each other. As a benchmark system, we use the time evolution of Hubbard nano-clusters in one to three dimensions.
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