Dynamics of a trapped 2D Bose-Einstein condensate with periodically and randomly varying atomic scattering length

Details Dynamics of a trapped 2D Bose-Einstein condensate with periodically and randomly varying atomic scattering length Dynamics of a trapped 2D Bose-Einstein condensate with periodically and randomly varying atomic scattering length

2002-05-22

arxiv.org/abs/cond-mat/0205464v1

Physics

Condensed Matter

Soft Condensed Matter

18 pages, 8 figures

Scientific paper

10.1016/S0167-2789(03)00228-8

In this work we consider the oscillations and associated resonance of a 2D Bose-Einstein condensate under periodic and random modulations of the atomic scattering length. For random oscillations of the trap potential and of the atomic scattering length we are able to calculate the mean growth rate for the width of the condensate. The results obtained from the reduced ODE's for oscillations of the width of condensate are compared with the numerical simulations of the full 2D Gross-Pitaevskii equation with modulated in time coefficients.

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