Stuttgart 2012 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 22: Quantengase: Wechselwirkungseffekte 1

Q 22.6: Vortrag

Dienstag, 13. März 2012, 12:00–12:15, V7.03

Transition state theory for wave packet dynamics. Thermal decay of Bose-Einstein condensates with long-range interaction — •Andrej Junginger, Markus Dorwarth, Jörg Main, and Günter Wunner — 1. Institut für Theoretische Physik, Universität Stuttgart

We demonstrate the application of transition state theory to wave packet dynamics in metastable, both linear and nonlinear Schrödinger systems which are approached by means of a variational ansatz for the wave function and whose dynamics is described within the framework of a time-dependent variational principle.

The application of classical transition state theory, which requires knowledge of a classical Hamilton function, is made possible by mapping the variational parameters to classical phase space coordinates and constructing an appropriate Hamiltonian in action variables. This mapping is performed by a normal form expansion of the equations of motion and an additional adaptation to the energy functional.

The applicability of the procedure is demonstrated for Bose-Einstein condensates with long-range interaction using coupled Gaussian wave functions. We discuss results obtained for different number of Gaussians and different normal form orders.

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