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

Publication ,  Journal Article
Braaten, E; Pearson, J
Published in: Physical Review Letters
January 1, 1999

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.

Duke Scholars

Published In

Physical Review Letters

DOI

EISSN

1079-7114

ISSN

0031-9007

Publication Date

January 1, 1999

Volume

82

Issue

2

Start / End Page

255 / 258

Related Subject Headings

  • General Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences
 

Citation

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ICMJE
MLA
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Braaten, E., & Pearson, J. (1999). Semiclassical corrections to the oscillation frequencies of a trapped bose-einstein condensate. Physical Review Letters, 82(2), 255–258. https://doi.org/10.1103/PhysRevLett.82.255
Braaten, E., and J. Pearson. “Semiclassical corrections to the oscillation frequencies of a trapped bose-einstein condensate.” Physical Review Letters 82, no. 2 (January 1, 1999): 255–58. https://doi.org/10.1103/PhysRevLett.82.255.
Braaten E, Pearson J. Semiclassical corrections to the oscillation frequencies of a trapped bose-einstein condensate. Physical Review Letters. 1999 Jan 1;82(2):255–8.
Braaten, E., and J. Pearson. “Semiclassical corrections to the oscillation frequencies of a trapped bose-einstein condensate.” Physical Review Letters, vol. 82, no. 2, Jan. 1999, pp. 255–58. Scopus, doi:10.1103/PhysRevLett.82.255.
Braaten E, Pearson J. Semiclassical corrections to the oscillation frequencies of a trapped bose-einstein condensate. Physical Review Letters. 1999 Jan 1;82(2):255–258.

Published In

Physical Review Letters

DOI

EISSN

1079-7114

ISSN

0031-9007

Publication Date

January 1, 1999

Volume

82

Issue

2

Start / End Page

255 / 258

Related Subject Headings

  • General Physics
  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
  • 01 Mathematical Sciences