Integral Formulation of Macroscopic Quantum Electrodynamics in Dispersive Dielectric Objects
arXiv:2209.13962 · doi:10.1103/PhysRevA.107.063705
Abstract
We propose an integral formulation of macroscopic quantum electrodynamics in the Heisenberg picture for linear dispersive dielectric objects of finite size, utilizing the Hopfield-type approach. By expressing the electromagnetic field operators as a function of the polarization density field operator via the retarded Green function for the vacuum, we obtain an integral equation that governs the evolution of the polarization density field operator. This formulation offers significant advantages, as it allows for the direct application of well-established computational techniques from classical electrodynamics to perform quantum electrodynamics computations in open, dispersive, and absorbing environments.
References in corpus (12)
- Circuit Quantum Electrodynamics
- Quantum Plasmonics
- Photonic quantum information processing: a review
- Historical roots of gauge invariance
- Three-dimensional quantization of the electromagnetic field in dispersive and absorbing inhomogeneous dielectrics
- Quantization of quasinormal modes for open cavities and plasmonic cavity-QED
- Canonical quantization of macroscopic electromagnetism
- Field quantization in inhomogeneous absorptive dielectrics
- Equivalence between the Hamiltonian and Langevin noise description of plasmon-polaritons in a dispersive and lossy inhomogeneous medium
- Diagonalization of Hamiltonian for finite-sized dispersive media: Canonical quantization with numerical mode-decomposition (CQ-NMD)
- Operative Approach to Quantum Electrodynamics in Dispersive Dielectric Objects Based on a Polarization Modal Expansion
- Time-Domain Formulation of Electromagnetic Scattering Based on a Polarization Mode Expansion and the Principle of Least Action