Beliaev Damping and Kelvin Mode Spectroscopy of a Condensate in the Presence of a Vortex Line
Abstract
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 87Rb 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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