Spontaneous emission in anisotropic dielectrics
Spontaneous emission in anisotropic dielectrics
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DOI：
10.1103/physreva.102.013721
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发表时间：
2020-04
影响因子：
2.9
通讯作者：
A. Messinger;N. Westerberg;S. Barnett
中科院分区：
文献类型：
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作者：
A. Messinger;N. Westerberg;S. Barnett
原子的发射性质是量子理论和光-物质相互作用的基础。在宏观介质的背景下，对其的准确了解在当前的量子技术中以及在基础研究中都是重要的。而对于各向同性介质来说，这是一个研究得很深入的问题，各向异性介质的理论还存在很大的空白。特别是，就我们所知，一般各向异性介质中的自发辐射率还没有给出明确的表达式。在这项工作中，我们首先推导了计算单轴介质中发射率的量子化电磁场算符。对于更一般的双轴介质情况，我们提出了一种基于单轴介质极限情况之间内插的近似表达式。我们用数值模拟来支持我们的模型，这些数值模拟对于典型的介质构型是非常一致的，并且进一步展示了如何在模型中考虑局域场效应。
The emission properties of atoms lie at the foundations of both quantum theory and light-matter interactions. In the context of macroscopic media, exact knowledge thereof is important both in current quantum technologies as well as in fundamental studies. While for isotropic media, this is a very well-studied problem, there are still big gaps in the theory of anisotropic media. In particular, to the best of our knowledge, an explicit expression for the spontaneous emission rate in general anisotropic media has not been presented. In this work, we first derive the quantised electromagnetic field operators to calculate the emission rate in uniaxial media. For the more general case of biaxial media we propose an approximate expression based on interpolation between the limiting cases of uniaxial media. We support our model with numerical simulations which are in strong agreement for typical media configurations, and furthermore show how local field effects can be taken into account in the model.