Dresden 2009 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 26: Poster II

DY 26.38: Poster

Thursday, March 26, 2009, 16:00–18:00, P1A

Exact stochastic representation of open quantum systems — •Jürgen T. Stockburger — Universität Ulm, Institut für Theoretische Physik, 89069 Ulm

An exact stochastic representation of open quantum systems was recently introduced by Stockburger and Grabert [1], allowing straightforward numerical methods which avoid both perturbative and Markovian approximations. In Ref. [1], a unique “reference trajectory” arises from a simple normalization constraint. However, alternative definitions of the reference trajectory through any representative of a large class of causal, analytic functionals of the noise variables are possible. All of these lead to equivalent exact stochastic constructions of open-system quantum dynamics. Alternative reference trajectories suitable for computation can be obtained through iteration and filtering methods. The resulting numerical algorithms are presented here. Recent results on a related semiclassical approach [2] to open-systems dynamics are also reported.

[1] Stockburger, J.T. and Grabert, H., Phys. Rev. Lett. 88, 170407 (2002)

[2] Koch, W., Großmann, F., Stockburger, J.T. and Ankerhold, J., Phys. Rev. Lett. 100, 230402 (2008)