Excitations of a Bose-condensed gas in anisotropic traps

Details Excitations of a Bose-condensed gas in anisotropic traps Excitations of a Bose-condensed gas in anisotropic traps

1997-09-03

arxiv.org/abs/cond-mat/9709041v1

Physics

Condensed Matter

7 pages Revtex, 9 Postscript figures

Scientific paper

10.1103/PhysRevA.57.1280

We investigate the zero-temperature collective excitations of a Bose-condensed atomic gas in anisotropic parabolic traps. The condensate density is determined by solving the Gross-Pitaevskii (GP) equation using a spherical harmonic expansion. The GP eigenfunctions are then used to solve the Bogoliubov equations to obtain the collective excitation frequencies and mode densities. The frequencies of the various modes, classified by their parity and the axial angular momentum quantum number, m, are mapped out as a function of the axial anisotropy. Specific emphasis is placed upon the evolution of these modes from the modes in the limit of an isotropic trap.

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