Hartree 近似法研究色散缓变光纤中暗孤子的量子效应

利用含时Hartree近似法得到色散缓变光纤的暗孤子量子非线性薛定谔方程，在一定条件下，有量子态的暗孤子解，并由此方程讨论经典和量子效应对暗孤子传输的影响，由此发现，光场算符的量子力学的平均值是一系列修正的经典孤子的叠加，色散缓变效应等效为一个分布参数放大器的增益。并导致非线性效应增加，使孤子受到压缩。

Study on Quantum Effect of Dark Solitons Based on Hartree Approximation Solution in the Fiber with Slowly Decreasing Dispersion

With the time-dependent Hartree approximation ,a quantitative nonlinear Schròdinger equation (NLS) in a disper-sion-slowly decreasing fiber is obtained. Under certain conditions ,quantum state dark soliton solutions exist. The solution for influence of dark soliton propagation ,as well as classical and quantum effects are discussed in detail.We find that mean-val-ue of the field in fiber is the pile2up of a series of classical dark sotions with corrections ,and the effect of slowly decreasing dispersion is equivalent to a long distance dispersed parameter fiber amplifier,that lead to nonlinear effect increase and the dark solitons by compression in fiber.