Statistical characterization of a single-photon source based on stimulated FWM in optical fibers

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, 〈Ň<inf>s</inf>〉 and 〈Ň<inf>i</inf>〉 respectively, and Mandel's Q<inf>s</inf> and Q<inf>i</inf> 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.

[1]  H. Bechmann-Pasquinucci,et al.  Quantum cryptography , 2001, quant-ph/0101098.

[2]  N. Silva,et al.  Effective Nonlinear Parameter Measurement Using FWM in Optical Fibers in a Low Power Regime , 2010, IEEE Journal of Quantum Electronics.

[3]  M. Fox.  Quantum Optics: An Introduction , 2006 .

[4]  Min Raj Lamsal.  Quantum Optics: An Introduction , 2011 .

[5]  Armando N. Pinto,et al.  Single-Photon Source by Means of Four-Wave Mixing Inside a Dispersion-Shifted Optical Fiber , 2006 .

[6]  A. Yariv,et al.  Quantum Fluctuations and Noise in Parametric Processes. I. , 1961 .

[7]  F. Illuminati,et al.  Multiphoton quantum optics and quantum state engineering , 2006, quant-ph/0701050.

[8]  G. Agrawal,et al.  Raman response function for silica fibers. , 2006, Optics letters.

[9]  J. Bromage,et al.  Raman amplification for fiber communications systems , 2003, Journal of Lightwave Technology.

[10]  N. Silva,et al.  Influence of the Stimulated Raman Scattering on the Four-Wave Mixing Process in Birefringent Fibers , 2009, Journal of Lightwave Technology.

[11]  E. Brainis,et al.  Four-photon scattering in birefringent fibers , 2008, 0807.3946.

[12]  Fatih Yaman,et al.  Photon-pair generation in optical fibers through four-wave mixing: Role of Raman scattering and pump polarization , 2007 .

[13]  R. W. Hellwarth,et al.  Third-order optical susceptibilities of liquids and solids , 1977 .

[14]  N. Gisin,et al.  Quantum cryptography , 1998 .

[15]  L. Mandel,et al.  Optical Coherence and Quantum Optics , 1995 .

[16]  Stephen M. Barnett,et al.  Methods in Theoretical Quantum Optics , 1997 .

[17]  Govind P. Agrawal,et al.  Nonlinear Fiber Optics , 1989 .

[18]  Blow,et al.  Continuum fields in quantum optics. , 1990, Physical Review A. Atomic, Molecular, and Optical Physics.