论文标题

将物质波孤子的限制在基座形电位之上

Confinement of matter-wave solitons on top of a pedestal-shaped potential

论文作者

Ismailov, K. K., Baizakov, B. B., Abdullaev, F. Kh.

论文摘要

已经探索了从向下的潜在步骤和有吸引力的电势的波数据包的反射,称为量子反射,对明亮的波浪孤子进行了探索,主要重点是将它们捕获到基座形电位之上的可能性。在数值模拟中,我们观察到移动孤子从电势的边界返回,并保持足够长的时间。孤子的班车运动伴随着每次反射的物质,从​​陷阱的边界中散发出一定数量的物质,从​​而减少了其标准。考虑了单孤子配置。已经讨论了碰撞孤子的轨迹不连续的跳跃。在两索构型中,在移动孤子态的阶梯状衰减中观察到的时变与轨迹跳跃现象有关。获得的结果可能是使用Bose-Einstein冷凝物设计新的Soliton实验的感兴趣。

Reflection of wave packets from downward potential steps and attractive potentials, known as a quantum reflection, has been explored for bright matter-wave solitons with the main emphasis on the possibility to trap them on top of a pedestal-shaped potential. In numerical simulations, we observed that moving solitons return from the borders of the potential and remain trapped for a sufficiently long time. The shuttle motion of the soliton is accompanied by shedding some amount of matter at each reflection from the borders of the trap, thus reducing its norm. The one- and two- soliton configurations are considered. A discontinuous jump of trajectories of colliding solitons has been discussed. The time-shift observed in a step-like decay of the moving soliton's norm in the two-soliton configuration is linked to the trajectory jump phenomenon. The obtained results can be of interest for the design of new soliton experiments with Bose-Einstein condensates.

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