Dresden 2006 – wissenschaftliches Programm

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DY: Dynamik und Statistische Physik

DY 17: Superfluidity and Bose-Einstein-Condensation

DY 17.1: Vortrag

Montag, 27. März 2006, 17:15–17:30, SCH 251

Bose-Einstein Condensate in Trapped Systems from a Canonical Point of View — •Konstantin Glaum¹, Hagen Kleinert¹, and Axel Pelster² — ¹Fachbereich Physik, Freie Universität Berlin, Arnimallee 14, 14195 Berlin, Germany — ²Fachbereich Physik, Universität Duisburg-Essen, Universitätsstraße 5, 45117 Essen, Germany

We develop a perturbative path integral approach for calculating a recursion relation for the partition function of a fixed number N of weakly interacting bosons in different trap configurations. After performing a chain resummation of the perturbative result, we discuss how a two-particle δ-interaction influences the behaviour of the thermodynamic quantities near the quasi-critical point. Furthermore, we show that the heat capacity and the number of particles in the ground state, which defines the quasi-condensate, approach their thermodynamic limits uniformly for all temperatures.