光分束器算符的相干态表象形式及其应用

教学讨论

光分束器算符的相干态表象形式及其应用

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李恒梅( 1978 ―) ，女，江苏盐城人，常州工学院副教授，博士，主要从事理论物理的教学与科学研究

收稿日期: 2018-05-25

录用日期: 2018-07-20

网络出版日期: 2019-01-17

基金资助

国家自然科学基金( 11665013、11447002) 资助

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Coherent state representation of optical beam splitter operator and its application

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1. College of Mathematical Physics and Chemical Engineering，Changzhou Institute of Technology，Changzhou,Jiangsu 213002，China 2. College of Electrical and Optoelectronic Engineering，Changzhou Institute of Technology，Changzhou,Jiangsu 213002，China

Received date: 2018-05-25

Accepted date: 2018-07-20

Online published: 2019-01-17

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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.

关键词： 光分束器算符; 相干态表象; 正规乘积; 量子催化

李恒梅, 袁洪春, 王震, 万志龙 . 光分束器算符的相干态表象形式及其应用[J]. 大学物理, 2018 , 37(12) : 33 . DOI: 10.16854 /j.cnki.1000-0712.180321

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.

Key words： Optical beam splitter operator; coherent state representation; normal ordering product; quantum catalysis

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