## Stochastic theory of self-induced transparency: linearized approach

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

http://dx.doi.org/10.1364/JOSAB.17.001031

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### Abstract

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 LaiHaus [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

**Citation**

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

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-17-6-1031

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### References

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