Semiclassical corrections to the oscillation frequencies of a trapped bose-einstein condensate

Journal Article (Journal Article)

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 N1/5a6/5where 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. © 1999 The American Physical Society.

Full Text

Duke Authors

Cited Authors

  • Braaten, E; Pearson, J

Published Date

  • January 1, 1999

Published In

Volume / Issue

  • 82 / 2

Start / End Page

  • 255 - 258

Electronic International Standard Serial Number (EISSN)

  • 1079-7114

International Standard Serial Number (ISSN)

  • 0031-9007

Digital Object Identifier (DOI)

  • 10.1103/PhysRevLett.82.255

Citation Source

  • Scopus