光纤中量子孤子的准经典方程

Quasiclassical Equation of Quantum Soliton in Optical Fibers

在库仑规范下对电磁场进行量子化，用密度矩阵描述光纤中包络孤子的特性。从量子统计基本方程量子Ｌｉｏｕｖｉｌｌｅ方程出发，推出Ｐ表示的Ｆｏｋｋｅｒ－Ｐｌａｎｃｋ方程，从而引出量子包络孤子在光纤中传输的准经典的非线性Ｓｃｈｒｏｄｉｎｇｅｒ方程。利用这方程讨论了孤子正交相振幅的崩坍与再生效应。

The electromagnetic field is quantized in the Coulomb gauge. The envelope solitonis discribed by the density matrix. The Fokker-planck equation of P representation is drawnfrom the quantum Liouville equation,from which quasiclassical nonlinear Schrodinger equa-tion is introduced for quantum soliton in optical fibers. The phenomena of collapse and re-vival are discussed for the quadrature phase amplitudes of soliton.