Resonances in a trapped 3D Bose-Einstein condensate under periodically varying atomic scattering length

Details Resonances in a trapped 3D Bose-Einstein condensate under periodically varying atomic scattering length Resonances in a trapped 3D Bose-Einstein condensate under periodically varying atomic scattering length

2004-05-28

arxiv.org/abs/cond-mat/0405671v1

Physics

Condensed Matter

Other Condensed Matter

17 pages, 10 figures, submitted to Journal of Physics B

Scientific paper

10.1088/0953-4075/37/17/009

Nonlinear oscillations of a 3D radial symmetric Bose-Einstein condensate under periodic variation in time of the atomic scattering length have been studied analytically and numerically. The time-dependent variational approach is used for the analysis of the characteristics of nonlinear resonances in the oscillations of the condensate. The bistability in oscillations of the BEC width is invistigated. The dependence of the BEC collapse threshold on the drive amplitude and parameters of the condensate and trap is found. Predictions of the theory are confirmed by numerical simulations of the full Gross-Pitaevski equation.

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