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Modern Physics Letters B

EXACT THEORY OF SPONTANEOUS EMISSION OF TWO LEVEL ATOM IN ONE-DIMENSIONAL CAVITY

Vladislav Cheltsov

Published Jun 20, 1995• 2 citations
Publisher

Abstract

The exact theory of the spontaneous emission of a motionless two level atom in a one-dimensional cavity at zero temperature is presented. In the damped cavity case, using the theory of quasistationary systems and a novel algorithm in operating casual ζ-functions, the theory predicts a hidden-triplet form of emission spectrum which turns abruptly to a singlet when the cavity passive linewidth Γ c /2 becoming equal to twice the coupling constant.

DOI
10.1142/s0217984995000814

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IEEE Lasers and Electro-Optics Society Annual Meeting (LEOS)•Jan 1, 1996•0 citations
The exact theory of the spontaneous emission of a motionless two level atom in a one-dimensional cavity at zero temperature is presented. In the damped cavity case, using the theory of quasistationary systems and a novel algorithm in operating casual ζ-functions, the theory predicts a hidden-triplet form of emission spectrum which turns abruptly to a singlet when the cavity passive linewidth Γ c /2 becoming equal to twice the coupling constant.
A brief review is given of theoretical and experimental investigations of the spontaneous emission from an atom in a resonator cavity. A theory of spontaneous emission from a two-level atom in free space and in a cavity is presented in a methodical unified manner. In a single-mode resonator the structure of the spectrum of the emitted photons is a singlet or a doublet, depending on the ratio of the cavity damping to the constant of the interaction of an atom with a field. The emission spectrum of an atom in a cavity with two modes with similar frequencies may have a triplet structure.
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 /spl omega//sub 2,1/ detuned symmetrically about the atomic one /spl omega//sub /spl alpha//, i.e. /spl omega//sub 2,1/=/spl omega//sub /spl alpha///spl plusmn//spl Delta/. The controlling /spl omega//sub 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+/spl omega//sub 2,1/ modes"-subsystem (the H/sub s/-one) under its interaction with the free H/sub k/-field.