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Frankfurt 2006 – scientific programme

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Q: Quantenoptik und Photonik

Q 38: Quantengase IV

Q 38.9: Talk

Wednesday, March 15, 2006, 12:40–12:55, HVI

Mean-field expansion in Bose-Einstein condensates with finite-range interactions — •Michael Uhlmann1, Ralf Schützhold1, Yan Xu1, and Uwe R. Fischer21Institut für Theoretische Physik, Technische Universität Dresden, D-01062 Dresden — 2Eberhard-Karls-Universität Tübingen, Institut für Theoretische Physik, Auf der Morgenstelle 14, D-72076 Tübingen

We present a formal derivation of the mean-field expansion for dilute Bose-Einstein condensates with two-particle interaction potential which are weak and finite-range, but otherwise arbitrary. The expansion allows for a controlled investigation of the impact of the microscopic interaction details (e.g., the scaling behaviour) on the mean-field approach and the induced higher-order corrections beyond the s-wave scattering approximation. As an example, we calculate the quantum depletion in the presence of dipole-dipole interactions (in addition to the usual contact potential).

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