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Acta Sinica Quantum Optica

The Squeezing Effect of Soliton in Fiber with Losses

Li Yu

Published Jan 1, 2003• 0 citations
OpenAlex

Abstract

In this paper, nonlinear Schrdinger equation is solved in the fiber with losses based on the linearized approach. The changes of the squeezing ratio of soliton with the propagation are studied by the numerical simulation. The results show that the more degree of the soliton squeezing is obtained and the soliton squeezed states exist longer in the bigger amplitude and smaller losses of the fiber.

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In this paper, nonlinear Schrdinger equation is solved in the fiber with losses based on the linearized approach. The changes of the squeezing ratio of soliton with the propagation are studied by the numerical simulation. The results show that the more degree of the soliton squeezing is obtained and the soliton squeezed states exist longer in the bigger amplitude and smaller losses of the fiber.
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.
An investigation is made of the evolution of quantum fluctuations of a fundamental soliton in the course of its propagation in a nonlinear fiber waveguide characterized by losses and compensated by amplification. Simple relationships are obtained for the amplitude and phase noise, quantum uncertainty of the position and momentum, and also fluctuations of the quadrature components of the radiation field. Numerical estimates are obtained. It is shown that loss-compensating amplification is unnecessary for efficient formation of squeezed states of a soliton.
The annihilation and creation operators of photons in solitons are defined (according) to the features of solitons in this paper. And then the operators of amplitudes for the mode's two quadrature phases are given. Using the time-dependent Hartree approximation, bound states can be constructed to satisfy the quantum nonlinear Schrdinger equation. Describing the propagation of solitons in fibers by means of soliton states which are superimposed by the approximation bound states, we find solitons will present squeezed states periodically.