An Interdisciplinary Journal

* 2006, Vol.9, No.3, pp.254-264*

We introduce a model system 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. We illustrate by various examples 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.
This correspondence is strongly sensitive to whether or not the
mean-field dynamics are chaotic.

*Key words: *
Bose-Einstein condensates, mean-field approximation,
regular and chaotic dynamics

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Last updated: *September 6, 2006*