Abstract
The exact solution of the problem of spontaneous stimulated Raman scattering by a point-like system of two-level atoms is used to study quantum statistical properties of scattered photons. The exact explicit expressions for the probability distribution function of the number of Stokes photons and for correlation functions of the scattered field are derived. It is shown that quantum fluctuations play a crucial role at the initial stage of the scattering process up to a macroscopically large number of Stokes photons and lead to strong random oscillations of the Stokes pulse envelope. In the opposite limiting case of an almost inverted atomic system, quantum fluctuations are strongly suppressed and statistical properties of the scattered field are described by a sub- Poisson distribution function. The Dicke superradiance statistics is also discussed as the limiting case of the Stokes field statistics.
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