Regensburg 2007 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 11: Superfluidity and Bose-Einstein condensation
DY 11.5: Vortrag
Dienstag, 27. März 2007, 10:45–11:00, H2
Density Distribution for Ideal Trapped Bose Gases — •Walja Korolevski1, Konstantin Glaum1, and Axel Pelster2 — 1Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14, 14195 Berlin, Germany — 2Fachbereich Physik, Universität Duisburg-Essen, Lotharstraße 1, 47048 Duisburg, Germany
Within the path integral formulation of density matrices, a recursion relation for the density distribution of N ideal harmonically confined bosons is derived. The respective canonical results are compared with calculations within the grand-canonical ensemble. Thereby, we show near the transition temperature that the densities of the ground state and the excited states have the same order of magnitude. Whereas the standard semiclassical approximation of the grand-canonical calculation yields appropriate results only in the thermodynamic limit, its correactions lead to finite-size effects which contain divergent terms. Therefore, we follow Ref. [1] and work out a modified semiclassical approximation which leads to reasonable finite-size corrections not only for the density distribution but also for the critical temperature and the specific heat.
[1] V.I. Yukalov, Phys. Rev. A 72, 033608 (2005)