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Quantized vortices and collective oscillations of a trapped Bose condensed gas

Francesca Zambelli·Sandro Stringari
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Abstract

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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Francesca Zambelli, Sandro Stringari. 1998-05-06. Quantized vortices and collective oscillations of a trapped Bose condensed gas. https://doi.org/10.1103/physrevlett.81.1754

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