A linearized quantum theory of soliton squeezing and detection is presented. The linearization reduces the quantum problem to a classical one. The classical formulation provides physical insight. It is shown that a quantized soliton exhibits uncertainties in photon number and phase, position (time), and momentum (frequency). Detectors for the measurement of all four operators are discussed. The squeezing of the soliton in the fiber is analyzed. An optimal homodyne detector for detection of the squeezing is presented that suppresses the noise associated with the continuum and the uncertainties in position and momentum.
© 1990 Optical Society of America
Original Manuscript: August 11, 1989
Manuscript Accepted: October 30, 1989
Published: March 1, 1990
H. A. Haus and Y. Lai, "Quantum theory of soliton squeezing: a linearized approach," J. Opt. Soc. Am. B 7, 386-392 (1990)