Ab-initio Mapping of Projected Local Density of States in Arbitrary Nanostructures: Application to Photonic Crystal Slabs and Cavities

TL;DR

This paper introduces an ab-initio method for mapping the projected local density of states in nanostructures, enabling detailed analysis of light-matter interactions in photonic devices and linking PLDOS to cavity QED parameters.

Contribution

It develops a flexible, efficient approach to map PLDOS in arbitrary nanostructures and establishes a connection between PLDOS and cavity quantum electrodynamics parameters.

Findings

Accurately interprets experimental observations in photonic crystal slabs.

Establishes a theoretical link between PLDOS and cavity QED parameters.

Enriches understanding of light-matter interactions in nanostructures.

Abstract

Based upon projected local density of states (PLDOS) for photons, we develop a local coupling theory to simultaneously treat the weak and strong interaction between a quantum emitter and photons in arbitrary nanostructures. The PLDOS is mapped by an extremely flexible and efficient method. The recent experiment observation for the photonic crystal slabs is very well interpreted by our ab-initio PLDOS. More importantly, a bridge linking the PLDOS and cavity quantum electrodynamics is for the first time established to settle quality factor, g factor and vacuum Rabi splitting. Our work greatly enriches the knowledge about the interaction between light and matter in nanostructures.