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Chinese Journal of Quantum Electronics

Properties of soliton squeezed state in fiber for limited view optical tomography

Li Yu

Published Jan 1, 2004• 0 citations
OpenAlex

Abstract

Based on the linear quantum theory and thermal reservoir model, we quantized the non-linear Schrdinger equation with fiber loss and derive the squeezing ratio formula. We analyzed the different coefficient of the loss which leads to the effect of the squeezed soliton. At the same time, we discuss the relation between the minimal squeezing ratio and the transmitted length along the fiber with the different soliton amplitude.

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Acta Sinica Quantum Optica•Jan 1, 2001•0 citations
Based on the linear quantum theory and thermal reservoir model, we quantized the non-linear Schrdinger equation with fiber loss and derive the squeezing ratio formula. We analyzed the different coefficient of the loss which leads to the effect of the squeezed soliton. At the same time, we discuss the relation between the minimal squeezing ratio and the transmitted length along the fiber with the different soliton amplitude.
Using the nonlinear quantum theory and revised Schr(?)dinger equation,the influences of the multi-photon nonlinear Compton scattering on the propagation of the soliton squeezed state in the fiber are studied,and the squeezing ratio of the soliton propagation is given out.The results show that near the ideal first-order soliton,the scattering can make the smallest soliton squeezed ratio with the increase of the soliton pulse amplitude,that is to say the larger soliton squeezed state can be gotten.With the increase of the loss,the squeezed degree of the squeezed state slowly decreases.When the loss is same,the transmission distance to get the smallest soliton squeezed ratio is shorter than that before the scattering with the increase of the soliton pulse amplitude.
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.