Abstract
We theoretically investigate the collective excitations of a one-dimensional Bose–Einstein condensate with both interparticle interaction and quantum fluctuation effect in an anharmonic trap. We derive the coupled equations of motions for the center-of-mass coordinate of the condensate and its width by using variational approaches. We find a reentrant behavior of the breathing mode and demonstrate that the anharmonic distortion may give rise to the collapse and revival of the collective excitations.
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