稳态光折变空间孤子传输的量子理论

稳态光折变空间孤子系统可用奇异Lagrange量描述，系统含Dirac约束.通常按对应原理写 出孤子系统的量子对易关系和量子运动方程时，未计及约束.对稳态光折变空间光孤子约束 系统进行Dirac括号量子化，给出了系统的对易关系和量子场方程.在线性近似下给出量子 非线性薛定谔方程的微扰解，并讨论了孤子的压缩性质.关键词：量子场论量子光学光折变空间孤子压缩效应

Quantum theory of steady state photorefractive spatial solitons propagation

The system of steady state photorefractive spatial optical solitons can be descr ibed by a singular Lagrangian.To our knowledge,the commutation relations and qua ntum equations of motion are given by using corresponding principle, however it is not satisfactory since the constraints are ignored.In this paper,the commutat ion relations and quantum equations of motion are derived based on the Dirac the ory of constrained systems.The perturbation solution in screening soliton case i s found and the squeezing properties are discussed.