Canonical quantization for quantum plasmonics with finite nanostructures

TL;DR

This paper develops a new canonical quantization approach for plasmons in finite nanostructures, revealing key differences from bulk models and incorporating dissipative and dispersive effects.

Contribution

It introduces a reformulation of plasmon quantization for finite media using a Lippmann-Schwinger approach, accounting for medium fluctuations and electromagnetic field contributions.

Findings

Reveals sharp differences in plasmon quantization between finite and infinite media.

Provides a Hamiltonian diagonalization method applicable to dissipative and dispersive responses.

Highlights the roles of medium fluctuations and electromagnetic fields in finite nanostructures.

Abstract

The quantization of plasmons has been analyzed mostly under the assumption of an infinite-sized bulk medium interacting with the electromagnetic field. We reformulate it for finite-size media, such as metallic or dielectric nano-structures, highlighting sharp differences. By diagonalizing the Hamiltonian by means of a Lippmann-Schwinger equation, we show the contribution of two sets of bosonic operators, one stemming from medium fluctuations, and one from the electromagnetic field. The results apply to general models including dissipative and dispersive responses.