光纤中飞秒孤子传输的量子理论

QUANTUM THEORY OF FEMTO-SECOND SOLITONS PROPAGATING IN FIBERS

导出了光孤子系统的微观哈密顿量,用所给哈密顿量及色散关系导出了飞秒孤子在光纤中传输所满足的修正非线性薛定谔方程,用Hartree近似方法求解了所得方程,并研究了孤子的量子特征及经典过渡。结果表明,光纤中光场算符的量子力学平均为一系列有修正项的经典孤子的叠加,光场算符的准概率密度呈自压缩效应,压缩效果与高阶项的大小有关。

The micro-Hamiltonian of optical fiber soliton system is obtained, and quantum nonlinear Schrodinger equation (QNSE) with corrections of femto-second soliton propagating in single-mode fiber is derived using the Hamiltonian and dispersion relation. The derived equation is solved with Hartrec approximation. The quantum feature of soliton and classical transition arc studied. Several results are obtained: The mean value of the field in fiber is the average of a set of classical solitons with corrections; as the propagation distance increases, the phase spreads and the soliton becomes self-squeezed, and the result of self-squeezing is relative to higher-terms.