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Physical Review A

Resonance fluorescence in a many-atom system

TAN WEI-HAN, M. H. Gu

Published Nov 1, 1986• 7 citations
Publisher

Abstract

We present in this paper a new method, wave-function recoupling in a many-atom system, in solving the resonance fluorescent spectrum. For a two-atom system, if the influence of stimulated emission on the cooperative effect is taken into account, the resonance fluorescence spectrum is expected to display five peaks. For a frequency-detuning case, an obvious asymmetry may appear in the spectral intensity distribution.

DOI
10.1103/physreva.34.4070

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Journal of Physics B Atomic and Molecular Physics•Jun 14, 1981•2 citations
We present in this paper a new method, wave-function recoupling in a many-atom system, in solving the resonance fluorescent spectrum. For a two-atom system, if the influence of stimulated emission on the cooperative effect is taken into account, the resonance fluorescence spectrum is expected to display five peaks. For a frequency-detuning case, an obvious asymmetry may appear in the spectral intensity distribution.
Resonance-fluorescence power spectrum of two-level atoms driven by a strong monochromatic laser field is discussed, taking into account effects due to the dipole-dipole interaction between the atoms. For two atoms confined to a region smaller than the wavelength of the driving field, we predict significant deviations of the power spectrum from the single-atom case. The two-atom spectrum is nonsymmetric, the wing peaks are shifted from their Rabi-frequency positions, and additional maxima may appear.
The resonance fluorescence spectrum of one and two two-level atoms in an ideal cavity with one resonant mode is investigated as a function of the initial excitation of the system. The analysis is carried out in the Stark representation with respect to the cavity's field and in first-order perturbation theory with respect to the fluorescence field. In the absence of the field of the cavity (n c = 0) and under an initial excitation of one atom only, the spectrum consists of two lines which are symmetrical with respect to ωa. In all other cases the spectrum has a central line at ωa and other lines at ωa ± 2 Ω. The intensity of the higher (ωa ± 4 Ω) harmonics is small and decreases as 1/ 2 c c with increasing n>c. The nonlinearity of the interaction hamiltonian results in the parametric (with respect to the field of the cavity) amplification of the ωa + 2 Ω harmonic and the attenuation of the ωa − 2 Ω harmonic. The stimulated emission of the ωa ± 2 Ω harmonics, vanishing in a strong (n c » 1) field, is shown to exist for two atoms.