论文标题
使用的纳米结构中的波动 - 散落定理和基本光子的换向关系使用准模式
Fluctuation-dissipation theorem and fundamental photon commutation relations in lossy nanostructures using quasinormal modes
论文作者
论文摘要
我们为在介电介质的背景下提供了有关绿色功能量化方法的理论和正式见解。我们表明，基本的绿色功能身份，例如，在电磁场的基本换向关系中，在非吸收介质的极限也是有效的。我们还展示了零点场波动如何在使用更正式的绿色函数量化方法的过程中，在不吸收的情况下如何在不吸收的情况下产生非变化的表面项。然后，我们将提出的方法应用于最近开发的光子量化理论，使用准模式[Franke等，Phys。莱特牧师。 122，213901（2019）]用于嵌入无损背景培养基中的有限纳米结构。我们讨论了准模式运算符的换向关系的严格介电限制，并提出了获取它们的不同方法，并与非吸收性但开放的谐振器的辐射损失有关。我们显示了完全三维光子晶体束腔的示例性计算，包括无损极限，该限制支持单个准模式，并讨论了消失阻尼的换向关系的限制（没有材料损失和没有辐射损失）。
We provide theory and formal insight on the Green function quantization method for absorptive and dispersive spatial-inhomogeneous media in the context of dielectric media. We show that a fundamental Green function identity, which appears, e.g., in the fundamental commutation relation of the electromagnetic fields, is also valid in the limit of non-absorbing media. We also demonstrate how the zero-point field fluctuations yields a non-vanishing surface term in configurations without absorption, when using a more formal procedure of the Green function quantization method. We then apply the presented method to a recently developed theory of photon quantization using quasinormal modes [Franke et al., Phys. Rev. Lett. 122, 213901 (2019)] for finite nanostructures embedded in a lossless background medium. We discuss the strict dielectric limit of the commutation relations of the quasinormal mode operators and present different methods to obtain them, connected to the radiative loss for non-absorptive but open resonators. We show exemplary calculations of a fully three-dimensional photonic crystal beam cavity, including the lossless limit, which supports a single quasinormal mode and discuss the limits of the commutation relation for vanishing damping (no material loss and no radiative loss).
