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Annual Meeting Optical Society of America

Mutual coherence between fluorescent and elastically scattered light from an atom

Frank A. Narducci, Samir Bali, L. Mandeļ

Published Jan 1, 1992• 0 citations
Publisher

Abstract

It has been predicted that when fluorescent photons emitted from an atom in the process of resonance fluorescence interfere with a portion of the coherent driving field, the visibility of the resulting interference exhibits nonclassical features and is zero at the moment when the atom is fully excited and when the fluorescent intensity is greatest.1 We show theoretically that a similar conclusion applies to interference between the fluorescent photons and the elastically scattered part of the driving field, which can be separated out with narrow band filters in practice. This involves the calculation of certain fourth order, three-time correlation functions that have not previously been studied. A possible application of the theory to an interference experiment will be discussed.

DOI
10.1364/oam.1992.tujj7

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It has been predicted that when fluorescent photons emitted from an atom in the process of resonance fluorescence interfere with a portion of the coherent driving field, the visibility of the resulting interference exhibits nonclassical features and is zero at the moment when the atom is fully excited and when the fluorescent intensity is greatest.1 We show theoretically that a similar conclusion applies to interference between the fluorescent photons and the elastically scattered part of the driving field, which can be separated out with narrow band filters in practice. This involves the calculation of certain fourth order, three-time correlation functions that have not previously been studied. A possible application of the theory to an interference experiment will be discussed.
Some coherence properties of the light emitted from a two-level atom which is excited by a monochromatic coherent field are investigated. It is shown that the elastically scattered light is coherent, and that this compoment of the emitted field can be separated from the total field by narrow-band filtering at the driving frequency. These results are then applied to the problem of interference between the fluorescent and the elastically scattered field. An interference experiment is analyzed in which the detection of one emitted photon signifies the beginning of a Rabi cycle and the detection of a subsequent photon fixes the instant in the Rabi cycle when the interference is detected. It is shown that the visibility of the interference is near zero at the time when the fluorescence is maximum.
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The statistical properties of fluorescent light from a single two-level atom driven by nonclassical light beams that exhibit antibunching and squeezing are discussed in the weak-field limit. The fields produced in intracavity second-harmonic generation and those produced by superposing the light from a degenerate parametric oscillator with a coherent field are considered to be the models of nonclassical light beams. These fields can be described in terms of real Gaussian random processes with nonzero mean coherent components. Analytical expressions for the fluorescent light intensity, the second-order intensity correlation function, and the variance of the photon number in the steady state are obtained. The effects of driving-field correlations, detuning, and other parameters characterizing the atom-field interaction on the statistics of scattered light are investigated. It is found that for a certain range of parameters the second-order intensity correlation function may vanish at nonzero times. Under certain other circumstances the antibunching of the fluorescent photons is enhanced. These and other interesting features that appear in the scattered light are discussed.
We suggest that the statistical properties of the scattered radiation in resonance-fluorescence experiments may be affected significantly by the existence of atomic correlations. The scattered light spectrum from two- and three-atom collective systems has been calculated and compared with the one-atom spectrum. The differences are quite significant for weak fields, but become less pronounced as the intensity of the driving field is increased. In addition, we have calculated the scattered intensity correlation function for collectively interacting systems, and found that its behavior is very different from that of the single-atom intensity correlation function, both for weak and strong incident fields. The implications of our findings for the observation of photon antibunching are also discussed.
We study the correlation between photons in the fluorescence light scattered from an atom driven by an intense bichromatic field having one strong and one weak component, with or without the use of frequency filters in front of the photodetectors. Depending on the filters used and on the spectral components selected, we predict signals corresponding either to bunching or to antibunching, and modulations at the driving field Rabi frequencies as well as at their sum and difference. In contrast with the case of monochromatic driving, the antibunching can occur between photons emitted into different (as well as the same) lines of the fluorescence spectrum.