Quantum Theory of Solitons and Squeezing

S. J. Carter, P. D. Drummond, M. D. Reid +1 more

Michael Werner

А. В. Белинский, A. S. Chirkin

H. A. Haus, Yinchieh Lai

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.

Ray‐Kuang Lee, Yinchieh Lai

Following the pioneering work of Professor Haus, a general quantum theory for bi-directional nonlinear optical pulse propagation problems is developed and applied to study the quantum properties of fibre Bragg grating solitons. Fibre Bragg grating solitons are found to be automatically amplitude squeezed after passing through the grating and the squeezing ratio saturates after a certain grating length. The optimal squeezing ratio occurs when the pulse energy is slightly above the fundamental soliton energy. One can also compress the soliton pulsewidth and enhance the squeezing simultaneously by using an apodized grating, as long as the solitons evolve adiabatically.

Yu. P. Rybakov, T. F. Kamalov