Düsseldorf 2007 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 46: Quantengase (Wechselwirkungseffekte)
Q 46.1: Vortrag
Mittwoch, 21. März 2007, 16:30–16:45, 6J
Properties of Canonical Ensembles for Weakly Interacting Dipolar Gases — •Konstantin Glaum1, Hagen Kleinert1, Axel Pelster2, and Lance Labun3 — 1Institut für Theoretische Physik, Freie Universität Berlin, Arnimallee 14, 14195 Berlin, Germany — 2Fachbereich Physik, Universität Duisburg-Essen, Lotharstraße 1, 47048 Duisburg, Germany — 3Dartmouth College, 03755 Hanover, NH, USA
We set up a recursion relation for the partition function of a finite number of harmonically confined dipolar bosons, and derive analytic expressions for free energy, specific heat, and ground-state occupancy. Due to the diluteness of the gas, both the isotropic contact interaction and the anisotropic dipole-dipole interaction are treated perturbatively. A subsequent renormalization of physical parameters yields a self-consistent improvement of the perturbative results. Due to the anisotropy of the dipole-dipole interaction, the thermodynamic quantities of interest depend on the trap configuration. In a cylindrical symmetric trap, there are two extremal configurations, where the symmetry axes of the trap and the dipole-dipole interaction are parallel or perpendicular to each other. By considering the difference between those two configurations we derive observable results which are sensitive to the small anisotropic dipole-dipole interaction.