Düsseldorf 2007 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 46: Quantengase (Wechselwirkungseffekte)
Q 46.7: Vortrag
Mittwoch, 21. März 2007, 18:00–18:15, 6J
BEC with 1/r Interatomic Interaction — •Moritz Schütte1 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
We consider the thermodynamic properties of a Bose-Einstein condensate with laser induced attractive 1/r interatomic interaction. Such a system is self-stabilizing and serves as a test laboratory for simulating gravitating objects with huge masses [1]. Using the functional integral approach, we derive a Hartree-Fock mean-field theory and investigate as two special cases the region around absolute zero and around the critical temperature. At first, we obtain an analytic solution of the Gross-Pitaevskii equation in Thomas-Fermi approximation and use a time-dependent variational approach in order to investigate the collective excitations. Then we determine the leading shift of the critical temperature which is due to the 1/r interaction and discuss its dependence upon the geometry of an additional harmonic confining potential.
[1] D. O’Dell, S. Giovanazzi, G. Kurizki, and V. M. Akulin Phys. Rev. Lett. 84, 5687 (2000)