Coherent state representation of optical beam splitter operator and its application

LI Heng-mei, YUAN Hong-chun, WANG Zhen, WAN Zhi-long

doi:10.16854 /j.cnki.1000-0712.180321

College Physics >

2018 , Vol. 37 >Issue 12: 33

DOI: https://doi.org/10.16854 /j.cnki.1000-0712.180321

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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Abstract

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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LI Heng-mei, YUAN Hong-chun, WANG Zhen, WAN Zhi-long . Coherent state representation of optical beam splitter operator and its application[J]. College Physics, 2018 , 37(12) : 33 . DOI: 10.16854 /j.cnki.1000-0712.180321

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