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arXiv 2409.01613cond-mat.quant-gasnlin.PS
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具有自旋轨道耦合的自旋1玻色-爱因斯坦凝聚体中的矢量怪波

Vector rogue waves in spin-1 Bose-Einstein condensates with spin-orbit coupling

Jun-Tao He, Hui-Jun Li, Ji Lin, Boris A. Malomed

备注：
17 pages, 6 figures, to be published in New Journal of Physics
发表信息：
New J. Phys. 26, 093020 (2024)
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AI总结：

该研究针对具有拉曼诱导自旋轨道耦合的自旋1玻色-爱因斯坦凝聚体，通过多尺度微扰法得到三分量怪波的近似解析解，经数值模拟验证准确性，并明确其存在域由基带调制不稳定性决定。

摘要：

我们通过解析与数值方法，研究了拉曼诱导自旋轨道耦合（SOC）的自旋1玻色-爱因斯坦凝聚体中的三分量怪波（RWs）。利用多尺度微扰法，我们得到了由系统有效色散决定的、具有正负有效质量的怪波近似解析解，这些解包含光滑形、条纹形怪波以及高阶怪波。解析解表明，系统三个分量中的怪波表现出不同的速度，且其峰值出现在同一时空位置，这一现象由SOC和相互作用共同导致。通过与底层系统的直接数值模拟对比，近似解析解的准确性得到了验证。此外，我们系统探究了由基带调制不稳定性（BMI）决定的怪波存在域。数值模拟证实，在BMI作用下，带有随机初始扰动的平面波会激发出怪波，与近似解析解的预测一致。

英文摘要：

We analytically and numerically study three-component rogue waves (RWs) in spin-1 Bose-Einstein condensates with Raman-induced spin-orbit coupling (SOC). Using the multiscale perturbative method, we obtain approximate analytical solutions for RWs with positive and negative effective masses, determined by the effective dispersion of the system. The solutions include RWs with smooth and striped shapes, as well as higher-order RWs. The analytical solutions demonstrate that the RWs in the three components of the system exhibit different velocities and their maximum peaks appear at the same spatiotemporal position, which is caused by SOC and interactions. The accuracy of the approximate analytical solutions is corroborated by comparison with direct numerical simulations of the underlying system. Additionally, we systematically explore existence domains for the RWs determined by the baseband modulational instability (BMI). Numerical simulations corroborate that, under the action of BMI, plane waves with random initial perturbations excite RWs, as predicted by the approximate analytical solutions.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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