Fluctuation-dissipation theorem and fundamental photon commutation relations in lossy nanostructures using quasinormal modes

• DOI: 10.1103/physrevresearch.2.033332
• Publication Date: 2020-08-28T21:33:07Z
• Authors: Sebastian Franke; Juanjuan Ren; Stephen Hughes; Marten Richter
• Keywords: Lossy compression

We provide theory and formal insight on the Green function quantization method for absorptive dispersive spatial-inhomogeneous media in context of dielectric media. show that a fundamental identity, which appears, e.g., commutation relation electromagnetic fields, is also valid limit non-absorbing demonstrate how zero-point field fluctuations yields non-vanishing surface term configurations without absorption, when using more procedure method. then apply presented to recently developed photon quasinormal modes [Franke et al., Phys. Rev. Lett. 122, 213901 (2019)] finite nanostructures embedded lossless background medium. discuss strict relations mode operators present different methods obtain them, connected radiative loss non-absorptive but open resonators. exemplary calculations fully three-dimensional photonic crystal beam cavity, including limit, supports single limits vanishing damping (no material no loss).