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Low-Lying Collective Modes of a One-Dimensional Bose Gas with Quantum Fluctuation Effect

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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… Click to show full 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.

Keywords: fluctuation effect; quantum fluctuation; one dimensional; dimensional bose

Journal Title: Journal of Low Temperature Physics
Year Published: 2020

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