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偶极与多极粒子的光驱动旋转的Floquet理论

Floquet Theory for Light-Driven Rotation of Dipolar and Multipolar Particles

Amane Takano, Minoru Kanega, Masahiro Sato

arXiv 2608.20197首次发表:更新:

AI 中文总结

该研究针对光驱动粒子旋转的微观分析不足问题,用Floquet理论等方法建模,确定了激光驱动旋转的非平衡相图,其过阻尼朗之万方程结果与实验定性一致。

AI 中文摘要

光驱动的纳米或微粒子旋转自上世纪末以来在光操纵和光物理学领域已广为人知,它被视为一种从光到材料的角动量转移,但基于哈密顿量或运动方程的微观分析发展不足。我们对受圆偏振激光辐照的电偶极或多极粒子的旋转进行简单建模,利用耗散经典系统的Floquet理论和模式分离方法,对朗之万型运动方程进行全面分析。此外,我们数值计算了粒子的时间演化。结果,我们准确估算了激光频率、激光强度、粒子质量、温度以及摩擦(耗散)对激光驱动旋转的依赖关系。我们在宽参数范围内确定了激光驱动旋转的“非平衡相图”,该相图由三个区域组成:旋转频率Ω∝ω⁻¹、Ω∝ω⁻³或Ω=ω(其中ω为激光频率)。将我们的理论结果与一些实验进行比较,表明过阻尼朗之万方程的结果与实验定性一致。

英文摘要

Nano- or micro-particle rotation driven by light has been well known in the fields of optical manipulation and optical physics since the end of the last century. It is viewed as a sort of angular-momentum transfer from light to material, but its microscopic analysis based on the Hamiltonian or the equation of motion has been less developed. We model this rotation with a simple setup of an electrically dipolar or multipolar particle irradiated by circularly polarized laser and comprehensively analyze the Langevin-type equation of motion by using the Floquet theory for dissipative classical systems and the mode separation method. Furthermore, we numerically compute the time evolution of the particle. As a result, we accurately estimate the dependence of the laser-frequency, laser-intensity, particle mass, temperature, and friction (dissipation) on the laser-driven rotation. We determine the ``nonequilibrium phase diagram'' of the laser-driven rotation in a broad parameter regime, which consists of three regimes: the rotation frequency $Ω\proptoω^{-1}$, $Ω\proptoω^{-3}$, or $Ω=ω$ ($ω$ is the laser frequency). Comparing our theoretical result with some experiments, we show that the result of the overdamped Langevin equation is qualitatively consistent with the experiments.

Comments6+15 pages, 5+6 figures

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