Collective excitations of BEC under anharmonic trap position jittering

Details Collective excitations of BEC under anharmonic trap position jittering Collective excitations of BEC under anharmonic trap position jittering

2007-09-27

arxiv.org/abs/0709.4357v1

Physics

Condensed Matter

Other Condensed Matter

This paper contains a manuscript - SolAnJPB.tex and figures (fig1 - fig1a.eps and fig1b.eps, fig2 - fig2.eps, fig3 - fig3a.eps

Scientific paper

10.1088/0953-4075/41/1/015301

Collective excitations of a Bose-Einstein condensate under periodic oscillations of a quadratic plus quartic trap position has been studied. A coupled set of variational equations is derived for the width and the condensate wave function center. Analytical expressions for the growth of oscillation amplitudes in the resonance case are derived. It is shown that jittering of an anharmonic trap position can cause double resonance of the BEC width and the center of mass oscillation in the wide range of the BEC parameters values. The predictions of variational approach are confirmed by full numerical simulations of the 1D GP equation.

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