Dark soliton in one-dimensional Bose—Einstein condensate under a periodic perturbation of trap

Abstract

The perturbation of a confining trap leads to the collective oscillation of a Bose-Einstein condensate, thereby the propagation of a dark soliton in the condensate is affected. In this study, periodic perturbation is employed to match the soliton oscillation. We find that the soliton dynamics depends sensitively on the coupling between the moving direction of the trap and that of the soliton. The soliton energy/depth evolves periodically, and a relevant shift in the soliton trajectory occurs as compared with the unperturbed case. Overall, the soliton oscillation frequency changes little even if the perturbation amplitude and frequency vary.

Propagation of dark soliton interacting with domain wall in two immiscible Bose–Einstein condensates*

“…When the soliton is far from the domain wall, it will act as a singlecomponent BEC. [25,26] Hence, the soliton accelerates towards the trap center, and it gains a big velocity to pass through the domain wall. These are the main differences from the model in Ref.…”