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Journal of Statistical Physics

Classical and quantum noise in nonlinear optical systems

Axel Schenzle

Published Mar 1, 1989• 12 citations
Publisher
DOI
10.1007/bf01044715

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The authors clarify noise generation mechanisms due to optical fiber nonlinearity in laser amplifiers and squeezers in coherent communication systems, and discuss the mechanism of reduction of phase noise due to optical fiber nonlinearity by using a squeezer in optical coherent repeater systems. They show that considering the classical and the quantum behaviors of the Kerr effect separately makes it easier to understand the mechanism instinctively. They expect further technical development of squeezer in order to realize long-haul coherent communications systems. >
Playing a prominent role in communications, quantum science and laser physics, quantum nonlinear optics is an increasingly important field. This book presents a self-contained treatment of field quantization and covers topics such as the canonical formalism for fields, phase-space representations and the encompassing problem of quantization of electrodynamics in linear and nonlinear media. Starting with a summary of classical nonlinear optics, it then explains in detail the calculation techniques for quantum nonlinear optical systems and their applications, quantum and classical noise sources in optical fibers and applications of nonlinear optics to quantum information science. Supplemented by end-of-chapter exercises and detailed examples of calculation techniques in different systems, this book is a valuable resource for graduate students and researchers in nonlinear optics, condensed matter physics, quantum information and atomic physics. A solid foundation in quantum mechanics and classical electrodynamics is assumed, but no prior knowledge of nonlinear optics is required.
In this paper, we consider the application of linear quadratic Gaussian (LQG) control to the problem of optimizing the level of squeezing in one of the quadratures of an optical field. Squeezed states of light can be generated when two optical fields (at fundamental and second-harmonic frequencies) interact in an optical cavity in the presence of a second-order nonlinear crystal. Our system is an optical squeezer which is modelled as a nonlinear quantum system. Suitable models for the quantum and classical noises present in the system are used and laser phase noise which arises due to mechanical vibration of the mirror(s) in the beam path is modeled as (approximately) integrated white noise. An LQG controller is synthesized and the closed loop system is simulated to validate our design.