Nonperturbative theory of cavity-controlled spontaneous emission of two level atom in microcavity

Summary form only given. The feasibility of cavity-controlled spontaneous emission of a motionless two level atom is analyzed quantum mechanically and nonperturbatively. It is proposed to control the emission by putting the excited atom into the combined field of two lossless modes with their frequencies ω_2,1 detuned symmetrically about the atomic one ω_α, i.e. ω_2,1=ω_α±Δ. The controlling ω_2,1 modes are isolated from the free radiation field by an one-dimensional ideal cavity (or by two crossed ones) at zero temperature. These modes are taken to be linearly polarized in the same plane. Because the wavelength and cavity dimensions are assumed to be of the same order, the retardation effects are neglected. The spontaneous emission is treated as a radiative decay of the macromolecule-like “atom+ω_2,1 modes”-subsystem (the H_s-one) under its interaction with the free H_k-field