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

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

1999-03-12

arxiv.org/abs/cond-mat/9903211v2

Phys. Rev. A, 62, 033604 (2000)

Physics

Condensed Matter

RevTex, 4 pages, 1 eps figure, identical to the published version

Scientific paper

10.1103/PhysRevA.62.033604

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.

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