Mainz 1997 – scientific programme
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Q: Quantenoptik
Q 38: Fallen und Kühlung IV
Q 38.3: Talk
Thursday, March 6, 1997, 15:00–15:15, N 2
Elementary excitations of a trapped Bose-condensed gas — •M. Wilkens1, P. Öhberg2, E.L. Surkov3, I. Tittonen1, S. Stenholm2, and G. Shlyapnikov4 — 1Fakultät für Physik, Universität Konstanz, Postfach 5560, 78434 Konstanz — 2Research Institute for Theoretical Physics, P.O. Box 9, FIN-00014 University of Helsinki, Finland — 3Russian Research Center Kurchatov Institute, Kurchatov Square, 123182 Moscow, Russia — 4FOM Institute for Atomic and Molecular Physics, Kruislaan 407, 1098 SJ Amsterdam, The Netherlands
We discuss elementary excitations of a trapped Bose condensed gas in the Thomas Fermi regime. For the case of harmonic traps we perform a systematic expansion of the Gross-Pitaevskii equation and Bogoliubov-De Gennes equations in the inverse interaction strength. We obtain the spectrum and the modes of the excitations for all energies. For low-energy excitations, as those measured in the recent JILA and MIT experiments, we emphasize the importance of the kinetic energy of the condensate, and we present solutions for any type of asymmetry of the trapping potential.