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Published on: February 28, 2016
Quantum Noise in Fibers with Arbitrary Nonlinear Profiles
J Bonetti1, D F Grosz1, S M Hernandez2
1Depto. de Ingeniería en Telecomunicaciones, Centro Atómico Bariloche, Comisión Nacional de Energía Atómica, Río Negro 8400, Argentina and Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET), San Carlos de Bariloche 8400, Argentina.
Abstract:
In this Letter we introduce a novel equation addressing the effect of quantum noise in optical fibers with arbitrary frequency-dependent nonlinear profiles. To the best of our knowledge, such an endeavor has not been undertaken before despite the growing relevance of fiber optics in the design of new quantum devices. We show that the stochastic generalized nonlinear Schrödinger equation, derived from a quantum theory of optical fibers, leads to unphysical results such as a negative photon number and the appearance of a dominant anti-Stokes sideband when applied to this kind of waveguides. Starting from a recently introduced master-equation approach to propagation in fibers, we derive a novel stochastic photon-conserving nonlinear Schrödinger equation suitable for modeling arbitrary nonlinear profiles, thus greatly enhancing the study of fiber-based quantum devices.
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