上海大学学报(自然科学版)

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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

Band-gap solitons’ transport

CHENG Lu,CHEN Yuanyuan   

  1. College of Sciences, Shanghai University, Shanghai 200444, China

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。本文中,我们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。我们首先通过数值计算找到稳定的带隙孤子,然后将它们作为初始态在周期性变化的周期势场中进行演化。我们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 balance between nonlinearity and dispersion relation can generate spatially localized band-gap solitons. One of outstanding features of these solitons is that it is very difficult to move them. In this paper, we propose to spatially move band-gap solitons via the periodic modulation of periodic potentials. We first numerically find the stable band-gap solitons, then set them as initial states and let them to evolve with the modulation of relevant phase of periodic potentials. We find that if the modulation is slow enough, the band-gap solitons can be transported away with a very high fidelity. This work provides a possibly theoretical scheme to the transportation of band-gap solitons.

Key words: band-gap solitons, optical superlattice, Bose-Einstein condensate, fidelity

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