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DY: Fachverband Dynamik und Statistische Physik

DY 8: Quantum Dynamics, Decoherence, and Quantum Information I

DY 8.9: Vortrag

Dienstag, 23. März 2010, 12:00–12:15, H38

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

The quantum dynamics of a system coupled to a reservoir with Gaussian quantum fluctuations can be recast in the form of a stochastic Liouville-von Neumann (SLN) equation involving noise forces which are classical variables bearing the spectral properties of quantum statistical fluctuations [1]. Until recently, related numerical methods used either a linear or a normalized, nonlinear SLN equation. Linear equations yield simulations that are simple and stable but resource-intensive. Normalized equations yield faster convergence but suffer from instabilities, which have so far been curable [2] only by resorting to complicated algorithms. New hybrid or “soft normalization” methods lead to simulations which combine the advantages of both earlier approaches.

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

[2] Stockburger, J.T., Chem. Phys. 296, 159 (2004)