Canonical quantization for quantum plasmonics with 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.

References in corpus (18)

• Quantum Plasmonics
• Plasmon-assisted Quantum Entanglement
• Three-dimensional quantization of the electromagnetic field in dispersive and absorbing inhomogeneous dielectrics
• Quantum emitters coupled to surface plasmons of a nano-wire: A Green function approach
• Quantization of quasinormal modes for open cavities and plasmonic cavity-QED
• Canonical quantization of macroscopic electromagnetism
• Weak and Strong coupling regimes in plasmonic-QED
• QED commutation relations for inhomogeneous Kramers-Kronig dielectrics
• Field quantization in inhomogeneous absorptive dielectrics
• Observation of quantum interference in the plasmonic Hong-Ou-Mandel effect
• Fano diagonalization of a polariton model for an inhomogeneous absorptive dielectric
• Quantizing polaritons in inhomogeneous dissipative systems
• Mode-selective quantization and multimodal effective models for spherically layered systems
• Equivalence between the Hamiltonian and Langevin noise description of plasmon-polaritons in a dispersive and lossy inhomogeneous medium
• Longitudinal and transverse components of a vector field
• Input-output relations at dispersing and absorbing planar multilayers for the quantized electromagnetic field containing evanescent components
• Non-Local Control of Single Surface Plasmon
• Description of spontaneous photon emission and local density of states in presence of a lossy polaritonic inhomogenous medium

Cited by in corpus (9)

• Diagonalization of Hamiltonian for finite-sized dispersive media: Canonical quantization with numerical mode-decomposition (CQ-NMD)
• Fluctuation-dissipation theorem and fundamental photon commutation relations in lossy nanostructures using quasinormal modes
• Collective strong coupling in a plasmonic nanocavity
• Numerical Framework for Modeling Quantum Electromagnetic Systems Involving Finite-Sized Lossy Dielectric Objects in Free Space
• The Langevin Noise Approach for Lossy Media and the Lossless Limit
• Quantum electrodynamics of lossy magnetodielectric samples in vacuum: modified Langevin noise formalism
• Operative Approach to Quantum Electrodynamics in Dispersive Dielectric Objects Based on a Polarization Modal Expansion
• Light-matter interaction in open cavities with dielectric stacks
• Critical review of quantum plasmonic models for finite-size media