光分束器算符的相干态表象形式及其应用  

Coherent state representation of optical beam splitter operator and its application

作　　者：李恒梅[1] 袁洪春[2] 王震[1] 万志龙[1] LI Heng-mei;YUAN Hong-chun;WANG Zhen;WAN Zhi-long(College of Mathematical Physics and Chemical Engineering,Changzhou Institute of Technology,Changzhou,Jiangsu 213002,China;College of Electricaland Optoeleetronic Engineering,Changzhou Institute of Technology,Changzhou,Jiangsu 213002,China)

机构地区：[1]常州工学院数理与化工学院,江苏常州213032 [2]常州工学院电气与光电工程学院,江苏常州213032

出　　处：《大学物理》2018年第12期33-36,共4页College Physics

基　　金：国家自然科学基金(11665013;11447002)资助

摘　　要：光分束器(BS)是量子光学中的基本线性器件之一,它在量子态制备中有着广泛的应用.本文基于分束器对算符的矩阵变换关系,导出了分束器算符的相干态表象形式.该表象形式结合IWOP技术可以简捷得到分束器算符的正规乘积形式,且其在量子催化中的应用也是十分方便的.Optical beam splitter(BS) is one of the basic linear elements in quantum optics,which is widely used in the preparation of quantum states.Based on the matrix transformation relation of BS,we derive the natural representation of BS operator in the coherent state representation.Then,its normally form can be concisely deduced by virtue of the technique of integration within ordered product(IWOP).Furthermore,as an application of coherent state representation of BS operator,we conveniently derive the output state of multiphoton catalysis with coherent state input.Compared with other methods,this method is easier and neater.

关 键 词：光分束器算符 相干态表象 正规乘积 量子催化 

分 类 号：O431.2[机械工程—光学工程]