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

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

2002-07-24

arxiv.org/abs/cond-mat/0207579v2

J. Phys. B: At. Mol. Opt. Phys. 36 (2003) 1109-1120

Physics

Condensed Matter

Soft Condensed Matter

14 REVTEX4 pages, 18 PS figures, final version Accepted in Journal of Physics B

Scientific paper

10.1088/0953-4075/36/6/303

Using the explicit numerical solution of the axially-symmetric Gross-Pitaevskii equation we study the oscillation of the Bose-Einstein condensate 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 novel feature. In this nonlinear problem without damping, at resonance in the steady state the amplitude of oscillation passes through maximum and minimum. Such growth and decay cycle of the amplitude may keep on repeating. Similar behavior is also observed in a rotating Bose-Einstein condensate.

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