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Semiclassical Corrections to the Oscillation Frequencies of a Trapped Bose-Enstein Condensate

Eric Braaten·John Pearson
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Abstract

The oscillation frequencies of collective excitations of a trapped Bose-Einstein condensate, when calculated in the mean-field approximation and in the Thomas-Fermi limit, are independent of the scattering length $a$. We calculate the leading corrections to the frequencies from quantum fluctuations around the mean field. The semiclassical correction is proportional to $N^{1/5} a^{6/5}$, where $N$ is the number of atoms in the condensate. The correction is positive semidefinite and is zero for surface modes whose eigenfunctions have a vanishing laplacian. The shift in the frequency of the lowest quadrupole mode for an axially symmetric trap is large enough that it should be measurable in future experiments.

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BibTeXRIS

Eric Braaten, John Pearson. 1998-11-08. Semiclassical Corrections to the Oscillation Frequencies of a Trapped Bose-Enstein Condensate. https://doi.org/10.1103/physrevlett.82.255

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