论文标题
各向异性介电的自发发射
Spontaneous emission in anisotropic dielectrics
论文作者
论文摘要
原子的发射特性在于量子理论和光 - 物质相互作用的基础。在宏观介质的背景下,其确切的知识在当前的量子技术以及基础研究中都很重要。对于各向同性媒体来说,这是一个非常有研究的问题,但各向异性媒体理论仍然存在很大的差距。尤其是,据我们所知,在一般各向异性培养基中自发发射率的明确表达尚未提出。在这项工作中,我们首先得出定量的电磁场运算符,以计算单轴介质中的发射速率。对于更一般的双轴介质情况,我们提出了基于单轴介质限制案例之间的插值的近似表达。我们使用数值模拟来支持我们的模型,这些模拟与典型的媒体配置非常有一致,并显示如何在模型中考虑局部现场效应。
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.