A Closed Class of Hydrodynamical Solutions for the Collective Excitations of a Bose-Einstein Condensate

Preprint

12 March 1999

preprint
Published by arXiv in arXiv

Abstract

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.

Keywords

HYDRODYNAMICAL SOLUTIONS
COLLECTIVE EXCITATIONS
EINSTEIN CONDENSATE
BOSE EINSTEIN
CLOSED CLASS
TRAP

All Related Versions

Version 1, 1999-03-12, ArXiv
Version 2, 2002-01-12, ArXiv
Published version: Physical Review A, 62 (3), 033604.

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