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利用含时Hartree 近似法得到色散缓变光纤的量子非线性薛定格方程,在一定条件下,有量子态的孤子解,并由此方程讨论经典和量子效应对孤子传输的影响,由此我们进一步发现,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选加,色散缓解应等效为一个长距离分布参数的光纤放大器,导致非线性效应增加,使孤子受到压缩
Quantum nonlinear Schrödinger equation of dispersion-slowing fiber is obtained by the Hartree approximation with time-dependent method. Under certain conditions, there are soliton solutions in quantum states. From this equation we discuss the influence of classical and quantum effects on the soliton transmission. From this we further We found that the average quantum mechanics of the light field operator is a series of modified classical soliton additions. The dispersion mitigation should be equivalent to a fiber amplifier with long-range distribution parameters, resulting in an increase of the nonlinear effect and the soliton being compressed