Quantization of optical solitons is discussed, using the nonlinear Fourier-transform (inverse-scattering) method. A quantum soliton is described in terms of two sets of conjugate variables such as the photon number and the phase, and the momentum and the center position. The theory of a soliton collision is extended to describe the quantum-nondemolition measurement of soliton photon number and momentum. These two variables are indeed quantum-nondemolition observables and can be measured by means of the phase and the center position of the probe soliton. It is demonstrated that the measurement error and backaction noise on the conjugate variable satisfy an uncertainty product.
© 1989 Optical Society of America
Original Manuscript: August 25, 1988
Manuscript Accepted: January 23, 1989
Published: June 1, 1989
H. A. Haus, K. Watanabe, and Y. Yamamoto, "Quantum-nondemolition measurement of optical solitons," J. Opt. Soc. Am. B 6, 1138-1148 (1989)