Düsseldorf 2007 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 17: Quantengase (Bosonische Gitter I)

Q 17.3: Vortrag

Dienstag, 20. März 2007, 11:00–11:15, 6J

Semiclassical quantization of an N-particle Bose-Hubbard model — •Eva-Maria Graefe and Hans-Jürgen Korsch — Fachbereich Physik Technische Universität Kaiserslautern

We study an N-particle two-mode Bose-Hubbard system, modelling a Bose-Einstein condensate in a double-well potential. We investigate the correspondence of a full many particle description and a mean-field-approximation, which is often called ’classical’. Furthermore we introduce a semiclassical approximation based on the classical mean-field Gross-Pitaevskii equation, which is expected to be valid for large N. By using a WKB-type quantization condition we reconstruct the quantum properties of the N-particle system approximately from the mean-field dynamics. The resulting eigenvalues are found to be in very good agreement with the exact ones, even for small values of N.