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### Statistical Characterization of a Single-Photon Source Based on Stimulated FWM in Optical Fibers

Silva, N. A. ; Almeida, A. ; Pinto, A. N.

Statistical Characterization of a Single-Photon Source Based on Stimulated FWM in Optical Fibers, Proc Conf. on Telecommunications - ConfTele, Lisbon, Portugal, Vol. 1, pp. 1 - 4, April, 2011.

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Abstract
We report on the theoretical statistical characterization of a single-photon source based on the stimulated four-wave mixing process inside an optical fiber. We quantify the photon statistics by means of the expectation number of photons generated on the signal and idler waves, $\langle \hat{N}_s \rangle$ and $\langle \hat{N}_i \rangle$ respectively, and Mandel's $Q_s$ and $Q_i$ parameters. The obtained solutions take into account the spontaneous and stimulated Raman contributions for the generation of the idler wave. Results show that the idler wave generated inside the fiber follows a super-Poissonian statistics. Findings also show that the signal wave change their own statistics from a Poissonian to a super-Poissonian, due to the interaction with the pump field and the optical fiber.