This work investigates the angular momentum induced by electromagnetic quantum fluctuations in a dielectric Mie sphere. The magneto-optical activity creates longitudinal electric modes with broken symmetry of magnetic quantum numbers. When excited by electromagnetic quantum fluctuations, angular momentum is created by a vortex of the Poynting vector that decays as $1/r$ from the center of the sphere. This longitudinal angular momentum, connected to the vector potential $\mathbf{A}(\mathbf{r},t)$, emerges as a QED modification of the traditional diamagnetic Einstein–de Haas effect, in which an applied external magnetic field, via its action on microscopic magnetism, enforces macroscopic rotation.

中文翻译：

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来自磁光活性球的 Mie 散射的纵向角动量：对爱因斯坦-德哈斯效应的 QED 校正

这项工作研究了介电 Mie 球体中由电磁量子涨落引起的角动量。磁光活动产生具有破坏磁量子数对称性的纵向电模式。当被电磁量子涨落激发时，角动量由坡印廷矢量的涡流产生，该涡流衰减为$1/r$从球体的中心。这个纵向角动量，连接到矢量势$\mathbf{一种}(\mathbf{r},吨)$，作为传统抗磁性爱因斯坦-德哈斯效应的 QED 修改出现，其中施加的外部磁场通过其对微观磁性的作用，强制宏观旋转。