From Many-Body Interaction to Nonlinearity

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Author(s): Niklas Teichmann, Christoph Weiss, Martin Holthaus
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Article: Nonlinear Phenomena in Complex Systems, Vol.9, No.3, pp.254-264 (2006)
Keywords: Bose-Einstein condensates, mean-field approximation, regular and chaotic dynamics
PACS: 03.75.Lm, 05.45.-a, 74.50.+r
Abstract:: 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 Schroedinger 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.
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URL: http://www.physik.uni-oldenburg.de/condmat/Papers/p_ManBodNonLin.ps (application/postscript)