双光子Jaynes-Cummings模型中光场的熵压缩  

Entropic Squeezing of the Optical Field in the Two-Photon Jaynes-Cummings Model

作　　者：任珉[1] 钱妍[2] 刘正君[3] 马爱群[4] 康冬鹏[3] 刘树田[3] 

机构地区：[1]广州大学抗震中心,广东广州510405 [2]黑龙江大学物理科学与技术学院,黑龙江哈尔滨150080 [3]哈尔滨工业大学物理系,黑龙江哈尔滨150001 [4]广州大学城建学院,广东广州510925

出　　处：《中国激光》2008年第8期1228-1234,共7页Chinese Journal of Lasers

摘　　要：研究传统的光场压缩效应一般从海森伯(Heisenberg)测不准关系出发,应用均方根(RMS)偏差量度光场的量子涨落.由于均方根偏差只涉及光场密度矩阵的二阶统计矩,在许多情况下,这种物理量不能精确量度光场的量子涨落.海森伯测不准关系是熵测不准关系的一个特例,可用熵量度光场正交分量的量子涨落.依据熵测不准关系,建立了光场熵压缩的概念.研究了双光子杰内斯-卡明(Jaynes-Cummings(J-C))模型中光场的熵压缩规律.对比发现,熵指数δxf(t)比均方根偏差Δxf(t)更敏感于光场的压缩效应,是量度光场的压缩效应的高灵敏度物理量.Traditional researches on the squeezing effect of optical field are based on Heisenberg＇s uncertainty principle and use root mean square （RMS） deviation to measure the quantum fluctuation of optical field. However, RMS deviation only contains the second-order statistical moments of the density operator. Thus under many circumstances, RMS deviation cannot precisely measure the quantum fluctuation. In fact, Heisenberg＇s uncertainty principle is a special case of entropy uncertainty relation, and entropy can be used to measure the quantum fluctuation of the quadrature components of the field. Based on entropy uncertainty relation, the concept of entropy squeezing has been formulated. Entropy squeezing of the optical field in two photon Jaynes-Cummings （J-C） model is discussed. By comparing, it is found that the entropy exponential δxf（t） is more sensitive to the squeezing effect of optical field than the RMS deviation Δxf（t）, and is a high sensitive parameter to measure optical field.

关 键 词：量子光学 双光子杰内斯-卡明模型 熵压缩 场压缩 

分 类 号：O431.2[机械工程—光学工程]