含时的线性驱动简并参量放大系统的量子起伏  

Quantum fluctuation in the time-dependent linearly driven degenerate parametric amplification

作　　者：赵超樱[1] 谭维翰[1] 

机构地区：[1]上海大学物理系,上海200444

出　　处：《物理学报》2005年第10期4526-4531,共6页Acta Physica Sinica

基　　金：上海市教育委员会重点学科基金资助的课题.~~

摘　　要：导出在P表象中含时的线性驱动简并参量放大Fokker-Planck方程,并求其解.在阈值以下或阈值附近,含时驱动Fokker-Planck方程的解与线性理论或阈值附近的微扰理论预言的基本相符.在阈值以上,含时驱动Fokker-Planck方程解的短期行为也与线性近似解相近,但当τ增大后的长期行为完全区别于线性理论的结果.A systematic theory of quantum fluctuation in the time-dependent linearly driven parametric amplification is developed. At first, a time-dependent linearly driven Fokker-Planck equation for the degenerate optical parametric amplification system is deduced when the pump depletion is considered, and then the quantum fluctuation below or near the threshold is evaluated, which is in agreement with that obtained by the linear theory or perturbation expansion near the threshold. Above the threshold, the short-time behavior of our solution is close to the linearization approximation; however, with the increase of interaction time τ, the long-time behavior of our solution shows that the squeezing is quite different from the linear theory.

关 键 词：含时的线性驱动简并参量放大 FOKKER-PLANCK方程 量子起伏 线性驱动 放大系统 简并 线性理论 参量放大 微扰理论 线性近似 

分 类 号：TN722[电子电信—电路与系统]