极化激元系统时间演化的量子涨落特性和非经典统计行为  

The time-revolution of the quantum fluctuation and the nonclassical statistical behavior for the polariton system

作　　者：余晓敏[1] 梁国栋[1] 钟艳花[2] 

机构地区：[1]暨南大学物理系,广州510632 [2]江门职业技术学院计算机系,江门529020

出　　处：《物理学报》2006年第5期2128-2137,共10页Acta Physica Sinica

基　　金：暨南大学自然科学基金资助的课题~~

摘　　要：将极化激元系统约化成模型单模光子-TO声子有效相互作用系统,在此基础上以解析形式讨论了系统的力学量、压缩态、量子涨落特性以及亚泊松分布等非经典效应的动力学演化行为.结果表明,光子场与极化波量子场彼此交换能量过程随时间演化呈振荡性质,光子场和声子场都可以演化成压缩态,其二阶压缩度随时间演化成复杂周期振荡特性,这种非经典特性是非线性相互作用的结果并且以k1项和k2项同时存在并相互关联为前提.而此时光子和声子统计分布随时间演化呈现介于超Poison分布和亚Poison分布之间复杂周期振荡的新结果,非线性作用k1项和k2项对这种非经典统计行为都有贡献.In this paper, we have considered the polariton system described by the model effective Hamihonian involving a single-mode photon field interacting with a transverse optical phonon in a more realistic form. On this basis, the dynamical evolution of the polariton system, and the quantum fluctuation and the non-classical properties for this system have been investigated in an analytic form. By the nonlinear interactions of the system, when the radiation field was initially in the coherent state and the polarization wave field in the vacuum state, the radiation field and the phonon field can be developed to the squeezed state with time evolution and their second-order squeezing oscillates with time evolution in a complex periodical form. When k1 = 0 or k2 = 0, the squeezed effects do not occur. The non-classical properties are determined by the nonlinear coupling of the system and depend on the existence of the k1 and k2 terms simultaneously. At the same time, it is shown that the new results indicate that the statistical distribution of the photon and phonon can oscillate between super-Poisson and sub-Poisson distribution with time evolution, the nonlinear terms k1 （ a ^＋ b ＋ ab ^ ） and k2 （ a ^ b ^ ＋ ab ） have contributions to the non-classical statistical feature.

关 键 词：极化激元系统动力学演化 单模光场-TO声子有效模型哈密顿量 量子涨落与压缩态 亚泊松分布 

分 类 号：O431.2[机械工程—光学工程]