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Journal of Physics B Atomic and Molecular Physics

High-field approximations and collective behaviour in atomic fluorescence

J. G. Cordes

Published Dec 14, 1982• 20 citations
Publisher

Abstract

An approximation scheme valid for high field strengths and arbitrary detuning is applied to the calculation of fluorescent spectra for various numbers (n) of emitting atoms. The presence of detuning is shown to prevent the possibility of solving this problem in closed form for arbitrary n. The one- and two-atom spectra are derived explicitly and compared with the known exact results.

DOI
10.1088/0022-3700/15/23/017

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An approximation scheme valid for high field strengths and arbitrary detuning is applied to the calculation of fluorescent spectra for various numbers (n) of emitting atoms. The presence of detuning is shown to prevent the possibility of solving this problem in closed form for arbitrary n. The one- and two-atom spectra are derived explicitly and compared with the known exact results.
The spectral density of resonance fluorescence from a two-level atom in a monochromatic radiation field of arbitrary strength and detuning is calculated by solution of the wave equation. A basis set in which the strong coupling of the atom and the quantised incident field is diagonal is used, and the resulting infinite set of coupled equations is solved by truncating them to a set of N equations and finally proceeding to the N to infinity limit. The resulting spectral densities of the inelastically scattered field for various levels of intensity of the incident field and degree of detuning are found to be identical with those of Kimble and Mandel (1976, 1977) obtained by solution of the coupled equations of motion of the atom and the radiation field in the Heisenberg picture.
We have developed a model for calculating saturated absorption spectra for dipole transitions in multi-level atoms. Using a semiclassical density matrix formalism, we derive a set of coupled differential equations for the internal state of the atom in a standing wave light field. The equations are solved using standard integration techniques. The absorption at each laser detuning is found from an average of the absorption for a number of velocities along the laser field, thermally weighted. The method is relatively efficient computationally yet quantitatively predicts important details of saturated absorption spectra including saturation, crossover resonances, merging of absorption lines at high intensity and optical pumping between hyperfine levels. We have measured saturated absorption and fluorescence spectra of 85 Rb, and compare to our computational results for a 36-level model.