Quantized vortices and collective oscillations of a trapped Bose condensed gas

Details Quantized vortices and collective oscillations of a trapped Bose condensed gas Quantized vortices and collective oscillations of a trapped Bose condensed gas

1998-05-06

arxiv.org/abs/cond-mat/9805068v1

Physics

Condensed Matter

Rextex, 4 pages, 1 postscript figure

Scientific paper

10.1103/PhysRevLett.81.1754

Using a sum rule approach we calculate the frequency shifts of the quadrupole oscillations of a harmonically trapped Bose gas due to the presence of a quantized vortex. Analytic results are obtained for positive scattering lengths and large N where the shift relative to excitations of opposite angular momentum is found to be proportional to the quantum circulation of the vortex and to decrease as N^{-2/5}. Results are also given for smaller values of N covering the transition between the ideal gas and the Thomas-Fermi limit. For negative scattering lengths we predict a macroscopic instability of the vortex. The splitting of the collective frequencies in toroidal configurations is also discussed.

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