Spontaneous emission and level shifts in absorbing disordered dielectrics and dense atomic gases: A Green's function approach

Abstract

Spontaneous emission and Lamb shift of atoms in absorbing dielectrics are discussed. A Green's-function approach is used based on the multipolar interaction Hamiltonian of a collection of atomic dipoles with the quantised radiation field. The rate of decay and level shifts are determined by the retarded Green's-function of the interacting electric displacement field, which is calculated from a Dyson equation describing multiple scattering. The positions of the atomic dipoles forming the dielectrics are assumed to be uncorrelated and a continuum approximation is used. The associated unphysical interactions between different atoms at the same location is eliminated by removing the point-interaction term from the free-space Green's-function (local field correction). For the case of an atom in a purely dispersive medium the spontaneous emission rate is altered by the well-known Lorentz local-field factor. In the presence of absorption a result different from previously suggested expressions is found and nearest-neighbour interactions are shown to be important.

6 pages no figures

References in corpus (3)

• Quantum field theory of cooperative atom response: Low light intensity
• Radiative atom-atom interactions in optically dense media: Quantum corrections to the Lorentz-Lorenz formula
• Lorentz-Lorenz shift in a Bose-Einstein condensate

Cited by in corpus (19)

• Spontaneous decay in the presence of dispersing and absorbing bodies: general theory and application to a spherical cavity
• Quantum emitters coupled to surface plasmons of a nano-wire: A Green function approach
• Effects of Local Fields on Spontaneous Emission in Dielectric Media
• Dispersion of the dielectric permittivity of dense and ultracold atomic gases
• Revisiting the wire medium: a resonant metalens
• Local-field correction to the spontaneous decay rate of atoms embedded in bodies of finite size
• Microscopic Theory of Spontaneous Decay in a Dielectric
• Transient QED effects in absorbing dielectrics
• Quantum Multiple Scattering
• Fluorescence in nonlocal dissipative periodic structures
• Gauge-invariant theory of truncated quantum light-matter interactions in arbitrary media
• Quantum Coherence Effects in Four-level Diamond Atomic System
• Local field effect as a function of pulse duration
• Electromagnetic vacuum of complex media II: the Lamb shift and the total vacuum energy
• Photonic band gap via quantum coherence in vortex lattices of Bose gases
• Photonic Band Gap in the Triangular Lattice of BEC vortices
• Atomic decay near a quantized medium of absorbing scatterers
• Lower bounds on the absorption probability of beam splitters
• Spontaneous emission and atomic line shift in causal perturbation theory