SPECTRAL PROPERTIES AND NONLINEAR DYNAMICS OF SPONTANEOUS EMISSION OF A RESONANCE PHOTON BY TWO-LEVEL ATOM TRAPPED IN DAMPED NANOCAVITY WITH A RESONANCE MODE

摘要

The time-dependent spectral properties and nonlinear dynamics of a spontaneous photon emitted by two level atom, trapped in damped nanocavity and coupled to a single resonance mode, have been investigated. The results have been obtained with the help of new nonperturbative approach by solving exactly the Schrodinger equation. The theory accounts exactly and simultaneously processes of emission, reabsorptions and leakage of photon. The solution was found with the Green functions formalism, supplemented with the novel algorithm in operating causal singular functions and fundamentals of the theory of quasi-stationary systems. The obtained distributions and emission dynamics are presented with plots as functions of photon frequency detuning and time for various value Γ/4g. For Γ/4g <1the spectrum is a triplet inside the cavity and doublet outside it. In this case the total emissionrnprobability is described by decaying oscillations. For Γ/4g ≥ 1 and Γ/4g ? 1 the spectrum consists of a singlerncentral line decaying exponentially with profile depending on value Γ/4g .rnΓ/4g.