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This talk focuses on aspects of Bose-Einstein condensation in a trapped, dilute atomic gas beyond the Gross-Pitaevskii mean field regime. By use of the formalism of pair excitation introduced by Wu, based on earlier works by Lee, Huang and Yang, the description of many-body bound states is addressed via formal asymptotics. There are two related questions to be discussed. (i) What is a plausible modeling of pair correlations by use of Partial Differential Equations, beyond the Gross-Pitaevskii limit? (ii) What is the effective depletion of the macroscopic quantum state (condensate) for a spatially varying scattering length having a periodic microstructure?

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Dionisios Margetis, University of Maryland at College Park
Seminar Room of the Institute for Theoretical Physics
Contact: Joachim Krug