标题： 时间反演不变材料中光偏振的非线性法拉第旋转 显示英文标题

标题： Non-linear Faraday Precession of Light Polarization in Time-Reversal Invariant Materials

摘要： 我们研究了电磁波通过表现出非线性霍尔效应的材料时的传播情况。 对于行波的耦合麦克斯韦-玻尔兹曼方程可以映射到类似于描述摆动运动的常微分方程。 在大多数实验相关的弱非线性范围内，我们发现光的偏振显示出类似法拉第效应的偏振方向的进动现象，这种进动在贝里偶极子矢量的方向上来回摆动，当光束穿过材料时。 这伴随着其偏振度的振荡，其特征频率随着行波强度线性增加。 可以通过测量厚度相关的法拉第旋转以及发射与非线性霍尔效应材料中偏振振荡相关的低频辐射来观察这些效应。 显示英文摘要

摘要： We investigate the propagation of electromagnetic waves through materials displaying a non-linear Hall effect. The coupled Maxwell-Boltzmann equations for traveling waves can be mapped onto ordinary differential equations that resemble those for the motion of a pendulum. In the weakly non-linear regime relevant for most experiments, we find that the polarization of light displays a Faraday-like precession of its polarization direction that swings back and forth around the direction of Berry dipole vector as the light beam traverses the material. This occurs concomitantly with an oscillation of its degree of polarization, with a characteristic frequency that increases linearly with the intensity of the traveling wave. These effects could be observed by measuring thickness dependent Faraday rotations as well as the emission of lower frequency radiation associated with the polarization oscillations in materials displaying the non-linear Hall effect.