Abstract
We analyze the damping of the transverse breathing mode in an elongated trap at ultra-low temperatures. The damping occurs due to the parametric resonance entailing the energy transfer to the longitudinal degrees of freedom. It is found that the nonlinear coupling between the transverse and discrete longitudinal modes can result in an anomalous behavior of the damping as a function of time with the reversed pumping of the breathing mode. The picture revealed explains the results observed in [Phys. Rev. Lett. 88 (2002) 250402].
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