上海大学学报(自然科学版) ›› 2024, Vol. 30 ›› Issue (4): 741-750.doi: 10.12066/j.issn.1007-2861.2334

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带隙孤子的输运

程璐,陈园园   

  1. 上海大学理学院,上海 200444
  • 收稿日期:2021-06-01 出版日期:2024-08-30 发布日期:2024-09-15
  • 通讯作者: 陈园园 (1977—), 女, 副研究员, 博士, 研究方向为冷原子物理. E-mail:cyyuan@statf.shu.edu.cn

Band-gap soliton transport

CHENG Lu,CHEN Yuanyuan   

  1. College of Sciences, Shanghai University, Shanghai 200444, China
  • Received:2021-06-01 Online:2024-08-30 Published:2024-09-15

摘要: 在非线性周期系统中, 非线性和色散关系平衡能够产生空间局域的带隙孤子. 这类孤子的一个显著特点为不容易进行空间移动. 本工作提出通过周期地调制周期势的方法来实现带隙孤子的空间输运. 首先通过数值计算找到稳定的带隙孤子, 然后将其作为初始态在周期性变化的周期势场中进行演化. 研究发现, 如果势场的周期性变化足够缓慢, 带隙孤子可以高保真度地进行空间传输. 该工作为带隙孤子的输运提供了一种可能方案.

关键词: 带隙孤子, 光学超晶格, 玻色–爱因斯坦凝聚体, 保真度

Abstract: In nonlinear periodic systems, the relation between nonlinearity and dispersion can generate spatially localized band-gap solitons. One of the outstanding features of these solitons is that they are practically immobile. In this study, we propose a means of spatially moving band-gap solitons through the periodic modulation of periodic potentials. We first numerically identify stable band-gap solitons, then set them as initial states and allow them to evolve with the modulation of the relevant phases of periodic potentials. We find that if the modulation is sufficiently slow, the band-gap solitons can be transported away at a very high fidelity. This work provides a possible theoretical scheme for transporting band-gap solitons.

Key words: band-gap solitons, optical superlattice, Bose–Einstein condensate, ?delity

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