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Q: Fachverband Quantenoptik und Photonik
Q 5: Quantengase (Bose-Einstein-Kondensation)
Q 5.3: Vortrag
Montag, 19. März 2007, 14:45–15:00, 6J
From Many-Body Interaction to Nonlinearity — •Niklas Teichmann1, Christoph Weiss2, and Martin Holthaus1 — 1Institut für Physik - Carl von Ossietzky Universität - D-2611 Oldenburg - Germany — 2Laboratoire Kastler Brossel - École normale supérieure - 24 rue Lhomond - F-75231 Paris Cedex 05 - France
A model system is introduced, which allows one to study the N-particle dynamics of an externally forced Bose-Einstein condensate at zero temperature numerically for reasonably large N, and gives rise to mean-field dynamics which can be either regular or chaotic. The correspondence between the evolution of the N-particle system, governed by the linear many-body Schrödinger equation, and the mean-field dynamics described by the nonlinear Gross-Pitaevskii equation is illustrated by various examples. This correspondence is strongly sensitive to whether or not the mean-field dynamics are chaotic.