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Phys. Rev. A 56, R3346–R3349 (1997)

Low-energy elementary excitations of a trapped Bose-condensed gas

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P. Öhberg1, E. L. Surkov2,3, I. Tittonen4, S. Stenholm1, M. Wilkens4, and G. V. Shlyapnikov2,3
1Helsinki Institute of Physics, P.O. Box 9, FIN-00014 University of Helsinki, Finland
2Russian Research Center Kurchatov Institute, Kurchatov Square, 123182 Moscow, Russia
3FOM Institute for Atomic and Molecular Physics, Kruislaan 407, 1098 SJ Amsterdam, The Netherlands
4Fakultät für Physik, Universität Konstanz, D-78434 Konstanz, Germany

Received 29 April 1997; published in the issue dated November 1997

We develop a method of finding analytical solutions of the Bogolyubov–de Gennes equations for the excitations of a Bose condensate in the Thomas-Fermi regime in harmonic traps of any asymmetry and introduce a classification of eigenstates. In the case of cylindrical symmetry we emphasize the presence of an accidental degeneracy in the excitation spectrum at certain values of the projection of orbital angular momentum on the symmetry axis and discuss possible consequences of the degeneracy in the context of new signatures of Bose-Einstein condensation.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.56.R3346
DOI:
10.1103/PhysRevA.56.R3346
PACS:
03.75.Fi, 34.20.Cf
 
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