## Quantum noise in optical fibers. I. Stochastic equations

JOSA B, Vol. 18, Issue 2, pp. 139-152 (2001)

http://dx.doi.org/10.1364/JOSAB.18.000139

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### Abstract

We analyze the quantum dynamics of radiation propagating in a single-mode optical fiber with dispersion, nonlinearity, and Raman coupling to thermal phonons. We start from a fundamental Hamiltonian that includes the principal known nonlinear effects and quantum-noise sources, including linear gain and loss. Both Markovian and frequency-dependent, non-Markovian reservoirs are treated. This treatment allows quantum Langevin equations, which have a classical form except for additional quantum-noise terms, to be calculated. In practical calculations, it is more useful to transform to Wigner or +*P* quasi-probability operator representations. These transformations result in stochastic equations that can be analyzed by use of perturbation theory or exact numerical techniques. The results have applications to fiber-optics communications, networking, and sensor technology.

© 2001 Optical Society of America

**OCIS Codes**

(060.2400) Fiber optics and optical communications : Fiber properties

(060.4510) Fiber optics and optical communications : Optical communications

(190.4370) Nonlinear optics : Nonlinear optics, fibers

(190.5650) Nonlinear optics : Raman effect

(270.3430) Quantum optics : Laser theory

(270.5530) Quantum optics : Pulse propagation and temporal solitons

**Citation**

P. D. Drummond and J. F. Corney, "Quantum noise in optical fibers. I. Stochastic equations," J. Opt. Soc. Am. B **18**, 139-152 (2001)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-18-2-139

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