Waiting times,probabilities and the Q factor of fluorescent photons |
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| Authors: | Henk F. Arnoldus Robertsen A. Riehle |
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| Affiliation: | 1. Department of Physics and Astronomy , Mississippi State University , P.O. Drawer 5167, Mississippi State, Mississippi, 39762-5167 , USA hfa1@msstate.edu;3. Department of Physics and Astronomy , Mississippi State University , P.O. Drawer 5167, Mississippi State, Mississippi, 39762-5167 , USA |
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| Abstract: | Photons in resonance fluorescence from a single atom are correlated, and this affects the photon detection statistics. We consider the time dependence of the variance for the number of counts in a time interval [0,?T], and we show that there exist Poisson points for certain values of the atomic parameters. At these points, the variance equals the average, like for a Poisson process. We also show that the conditional probability density for the detection of the nth photon after a detection of a photon at time zero can be obtained from the conditional probability density for the first photon, and we illustrate this by computing several conditional probability densities for a special case of interest. The unconditional probability density for the detection of the nth photon can be obtained from the conditional probability densities and the probability for detecting n photons in [0,?T] can subsequently be found from the unconditional probability densities. |
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| Keywords: | photon statistics resonance fluorescence Q factor sub-Poisson statistics antibunching |
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