Resonance in Bose-Einstein condensate oscillation from a periodic variation in scattering length

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Adhikari, S. K.
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Iop Publishing Ltd
Using the explicit numerical solution of the axially symmetric Gross-Pitaevskii equation, we study the oscillation of the Bose-Einstein condensate (BEC) induced by a periodic variation in the atomic scattering length a. When the frequency of oscillation of a is an even multiple of the radial or axial trap frequency, respectively, the radial or axial oscillation of the condensate exhibits resonance with a novel feature. In this nonlinear problem without damping, at resonance in the steady state the amplitude of oscillation passes through a maximum and minimum. Such a growth and decay cycle of the amplitude may keep on repeating. Similar behaviour is also observed in a rotating BEC.
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Journal of Physics B-atomic Molecular and Optical Physics. Bristol: Iop Publishing Ltd, v. 36, n. 6, p. 1109-1120, 2003.