A linearized perturbation quantum theory of second-order soliton propagation is developed. The theory shows that the quantum fluctuations of photon number, phase, momentum, and position at an arbitrary propagation distance are linear combinations of these fluctuations at zero distance. The evolutions of second-order soliton quantum fluctuations are evaluated and compared with the quantum-fluctuation evolutions of a fundamental soliton. Based on this theory, the squeezing effect of a second-order soliton is studied. It is shown that, like a fundamental soliton, a second-order soliton also exhibits squeezing along propagation when a proper combination of the number and phase operators is detected.
© 1999 Optical Society of America
(190.5530) Nonlinear optics : Pulse propagation and temporal solitons
(270.0270) Quantum optics : Quantum optics
(270.5530) Quantum optics : Pulse propagation and temporal solitons
(270.6570) Quantum optics : Squeezed states
Chen-Pang Yeang, "Quantum theory of a second-order soliton based on a linearization approximation," J. Opt. Soc. Am. B 16, 1269-1279 (1999)