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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 17, Iss. 6 — Jun. 1, 2000
  • pp: 1031–1038

Stochastic theory of self-induced transparency: linearized approach

Victor V. Kozlov and Andrey B. Matsko  »View Author Affiliations

JOSA B, Vol. 17, Issue 6, pp. 1031-1038 (2000)

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Making use of c-number stochastic theory and soliton perturbation theory, we study the quantum fluctuations of a self-induced transparency (SIT) soliton propagating through a lossless two-level medium. Considering the fluctuations as small corrections to the classical soliton, we are able to construct and solve four stochastic equations that govern the evolution of four soliton parameters: photon number (intensity), phase, timing, and momentum (frequency). We find excellent agreement between our stochastic theory of SIT solitons and the second-quantized theory of Lai and Haus [Phys. Rev. A 42, 2925 (1990)].

© 2000 Optical Society of America

OCIS Codes
(270.2500) Quantum optics : Fluctuations, relaxations, and noise
(270.5530) Quantum optics : Pulse propagation and temporal solitons

Victor V. Kozlov and Andrey B. Matsko, "Stochastic theory of self-induced transparency: linearized approach," J. Opt. Soc. Am. B 17, 1031-1038 (2000)

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