Beliaev Damping and Kelvin Mode Spectroscopy of a Condensate in the Presence of a Vortex Line

Details Beliaev Damping and Kelvin Mode Spectroscopy of a Condensate in the Presence of a Vortex Line Beliaev Damping and Kelvin Mode Spectroscopy of a Condensate in the Presence of a Vortex Line

2002-11-19

arxiv.org/abs/cond-mat/0211396v1

Physics

Condensed Matter

Soft Condensed Matter

4 pages, 4figures

Scientific paper

10.1103/PhysRevLett.90.180401

It is demonstrated theoretically that the counter-rotating quadrupole mode in a vortex of Bose-Einstein condensates can decay into a pair of Kelvin modes via Beliaev process. We calculate the spectral weight of density-response function within Bogoliubov framework, taking account of both Beliaev and Landau processes. Good agreement with experiment on $^{87}$Rb by Bretin et al. [cond-mat/0211101] allows us to unambigiously identify the decayed mode as the Kelvin wave propagating along a vortex line.

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