Exact Quantum Electrodynamics in Radiative Photonic Environments

TL;DR

This paper introduces an exact second quantization method for quantum emitters in photonic environments, enabling precise modeling of non-Markovian dynamics without reservoir approximations.

Contribution

It develops a complete, exact quantization scheme transforming continuum modes into pseudomodes, applicable to various nanophotonic systems, avoiding common approximations.

Findings

Provides a complete quantization framework for photonic environments.

Accurately captures non-Markovian quantum dynamics.

Applicable to diverse nanophotonic geometries.

Abstract

We present a comprehensive second quantization scheme for radiative photonic devices. We canonically quantize the continuum of photonic eigenmodes by transforming them into a discrete set of pseudomodes that provide a \textit{complete} and \textit{exact} description of quantum emitters interacting with electromagnetic environments. This method avoids all reservoir approximations, and offers new insights into quantum correlations, accurately capturing all non-Markovian dynamics. This method overcomes challenges in quantizing non-Hermitian systems and is applicable to diverse nanophotonic geometries.