Phys. Rev. A 62, 033604 (2000) [5 pages]

Closed class of hydrodynamical solutions for the collective excitations of a Bose-Einstein condensate

Abstract

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Pippa Storey^1,* and Maxim Olshanii^1,2,†
¹Lyman Laboratory, Harvard University, Cambridge, Massachusetts 02138
²Department of Physics and Astronomy, University of Southern California, Los Angeles, California 90089-0484

Received 8 November 1999; published 10 August 2000

A trajectory approach is taken to the hydrodynamical treatment of collective excitations of a Bose-Einstein condensate in a harmonic trap. The excitations induced by linear deformations of the trap are shown to constitute a broad class of solutions that can be fully described by a simple nonlinear matrix equation. An exact closed-form expression is obtained for the solution describing the mode {n=0, m=+2} in a cylindrically symmetric trap, and the calculated amplitude-dependent frequency shift shows good agreement with the experimental results of the JILA group.

URL:

http://link.aps.org/doi/10.1103/PhysRevA.62.033604

DOI:

10.1103/PhysRevA.62.033604

PACS:

03.75.Fi, 05.30.Jp

^*Permanent address: Physics Department, University of Auckland, Private Bag 92019, Auckland, New Zealand; Electronic address: p.storey@auckland.ac.nz

^†Electronic address: maxim@atomsun.harvard.edu

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Phys. Rev. A 62, 033604 (2000) [5 pages]

Closed class of hydrodynamical solutions for the collective excitations of a Bose-Einstein condensate