Finite element method for obtaining the regularized photon Green function in lossy material

Abstract

Photon Green function (GF) is the vital and most decisive factor in the field of quantum light-matter interaction. It is divergent with two equal space arguments in arbitrary-shaped lossy structure and should be regularized. We introduce a finite element method for calculating the regularized GF. It is expressed by the averaged radiation electric field over the finite-size of the photon emitter. For emitter located in homogeneous lossy material, excellent agreement with the analytical results is found for both real cavity model and virtual cavity model. For emitter located in a metal nano-sphere, the regularized scattered GF, which is the difference between the regularized GF and the analytical regularized one in homogeneous space, agrees well with the analytical scattered GF.

References in corpus (12)

• Quantum properties of atomic-sized conductors
• Controllable scattering of photons inside a one-dimensional resonator waveguide
• Spontaneous decay of an excited atom in an absorbing dielectric
• Electromagnetic-field quantization and spontaneous decay in left-handed media
• Spontaneous Emission Spectra and Quantum Light-Matter Interactions from a Strongly-Coupled Quantum Dot Metal-Nanoparticle System
• Finite element modeling of spontaneous emission of a quantum emitter at nanoscale proximity to plasmonic waveguides
• A multiple-scattering approach to interatomic interactions and superradiance in inhomogeneous dielectrics
• Quantum local-field corrections and spontaneous decay
• Suppressed dissipation of a quantum emitter coupled to surface plasmon polaritons
• Finite-difference time-domain technique as an efficient tool for obtaining the regularized Green function: applications to the local field problem in quantum optics for inhomogeneous lossy materials
• Sensing Kondo correlations in a suspended carbon nanotube mechanical resonator with spin-orbit coupling
• Quasi-normal mode approach to the local-field problem in quantum optics

Cited by in corpus (3)

• Bound state and non-Markovian dynamics of a quantum emitter around a surface plasmonic nanostructure
• Manipulation of optomechanically induced transparency and absorption by indirectly coupling to an auxiliary cavity mode
• Level shift and decay dynamics of a quantum emitter around plasmonic nanostructure