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We investigate the distribution of the number of photons emitted by a singlemolecule undergoing a spectral diffusion process and interacting with acontinuous wave laser field. The spectral diffusion is modeled based on astochastic approach, in the spirit of the Anderson-Kubo line shape theory.Using a generating function formalism we solve the generalized optical Blochequations, and obtain an exact analytical formula for the line shape andMandel's Q parameter. The line shape exhibits well known behaviors, includingmotional narrowing when the stochastic modulation is fast, and powerbroadening. The Mandel parameter, describing the line shape fluctuations,exhibits a transition from a Quantum sub-Poissonian behavior in the fastmodulation limit, to a classical super-Poissonian behavior found in the slowmodulation limit. Our result is applicable for weak and strong laser field,namely for arbitrary Rabi frequency. We show how to choose the Rabi frequencyin such a way that the Quantum sub-Poissonian nature of the emission processbecomes strongest. A lower bound on $Q$ is found, and simple limiting behaviorsare investigated. A non-trivial behavior is obtained in the intermediatemodulation limit, when the time scales for spectral diffusion and the life timeof the excited state, become similar. A comparison is made between our results,and previous ones derived based on the semi-classical generalizedWiener--Khintchine theorem.Comment: 14 Phys. Rev style pages, 10 figure

Super- and sub-Poissonian photon statistics for single molecule spectroscopy