A dual-Lagrangian description adapted to quantum optics in dispersive and dissipative dielectric media

Abstract

We develop a dual description of quantum optics adapted to dielectric systems without magnetic property. Our formalism, which is shown to be equivalent to the standard one within some dipolar approximations discussed in the article, is applied to the description of polaritons in dielectric media. We show that the dual formalism leads to the Huttner-Barnett equations [B. Huttner, S. M. Barnett, Phys. Rev. A \textbf{46}, 4306 (1992)] for QED in dielectric systems. More generally, we discuss the role of electromagnetic duality in the quantization procedure for optical systems and derive the structure of the dynamical laws in the various representations.

References in corpus (8)

• The Casimir force and the quantum theory of lossy optical cavities
• Single-photon excitation of surface plasmon polaritons
• `Deterministic' quantum plasmonics
• Coherent interaction of a metallic structure with a single quantum emitter: from super absorption to cloaking
• Unified approach to QED in arbitrary linear media
• Quantum plasmonics: second-order coherence of surface plasmons launched by quantum emitters into a metallic film
• Electromagnetic field quantization in an anisotropic magnetodielectric medium with spatial-temporal dispersion
• Spatio-temporal second-order quantum correlations of surface plasmon polaritons

Cited by in corpus (5)

• Perspective: Quantum Hamiltonians for Optical Interactions
• Quantizing polaritons in inhomogeneous dissipative systems
• Equivalence between the Hamiltonian and Langevin noise description of plasmon-polaritons in a dispersive and lossy inhomogeneous medium
• Poynting vector controversy in axion modified electrodynamics
• Identification of Poincare-gauge and multipolar nonrelativistic theories of QED