Harper-Hofstadter模型中间隙孤子的量子化输运
Quantized Transport of Gap Solitons in the Harper-Hofstadter Model
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中文总结 AI 辅助
本文研究Harper-Hofstadter模型中带隙孤子在非线性作用下的动力学，发现深带隙孤子具有与力成正比的量子化横向速度，可实现稳健可控的任意操控，为非线性孤子输运提供新机制。
中文摘要 AI 辅助
我们研究了具有附加三次非线性的Harper-Hofstadter模型中间隙孤子的动力学，该非线性可描述弱相互作用冷原子或光学平台中的Kerr非线性。我们发现，某些频率深处于带隙中的孤子以垂直于外加力的稳健、量子化速度运动，并在长时间尺度上保持其空间轮廓。至关重要的是，该速度与外加力成线性比例，从而允许仅通过可调外力对非线性波包进行任意操控，而不会发生破坏。这种量子化输运即使在线性Bloch态高度非均匀占据的情况下依然存在，并与带边附近的孤子形成对比——后者在相同外力下会变形并离域化。这些结果指向了一种在实验可及平台上操控非线性孤子的稳健且高度可控的机制。
英文摘要
We investigate the dynamics of gap solitons found in the Harper-Hofstadter model with an additional cubic nonlinearity, such as that describing weakly-interacting cold atoms or a Kerr nonlinearity in an optical platform. We find that certain solitons with frequencies deep in the band gap travel with a robust, quantized velocity perpendicular to the applied force and maintain their spatial profile over long timescales. Crucially, this velocity is linearly proportional to the applied force, allowing for arbitrary steering of the nonlinear wavepacket, without breakdown, using only a tunable external force. This quantized transport persists despite a highly non-uniform occupation of the linear Bloch states, and contrasts with solitons near the band edge, which deform and delocalize under the same force. These results point to a robust and highly controllable mechanism for steering nonlinear solitons in experimentally accessible platforms.
发表机构
- School of Physics and Astronomy, University of Birmingham（伯明翰大学物理与天文学院）
- Blackett Laboratory, Imperial College London（帝国理工学院布莱克特实验室）
- Extreme Light Infrastructure – Nuclear Physics (ELI-NP) and Horia Hulubei National Institute for R&D in Physics and Nuclear Engineering (IFIN-HH)（极轻基础设施-核物理（ELI-NP）和霍里亚·胡鲁贝伊核物理与核工程研发国家研究所（IFIN-HH））
- Pitaevskii BEC Center, INO-CNR and Dipartimento di Fisica, Università di Trento（皮塔耶夫斯基玻色-爱因斯坦凝聚中心、意大利国家研究委员会光学研究所及特伦托大学物理系）
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