Optical field's quadrature excitation studied by new Hermite-polynomial operator identity  

作　　者：范洪义 何锐 笪诚 梁祖峰 

机构地区：[1]Department of Physics, Ningbo University [2]Department of Material Science and Engineering, University of Science and Technology of China [3]Department of Physics, Hangzhou Normal University

出　　处：《Chinese Physics B》2013年第8期253-256,共4页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11175113 and 11275123)

摘　　要：We study the optical field＇s quadrature excitation state Xm 10）, where X = （a ＋ at）/x/2 is the quadrature operator. We find it is ascribed to the Hermite-polynomial excitation state. For the first time, we determine this state＇s normalization constant which turns out to be a Laguerre polynomial. This is due to the integration method within the ordered product of operators （IWOP）. The normalization for the two-mode quadrature excitation state is also completed by virtue of the entangled state representation.We study the optical field＇s quadrature excitation state Xm 10）, where X = （a ＋ at）/x/2 is the quadrature operator. We find it is ascribed to the Hermite-polynomial excitation state. For the first time, we determine this state＇s normalization constant which turns out to be a Laguerre polynomial. This is due to the integration method within the ordered product of operators （IWOP）. The normalization for the two-mode quadrature excitation state is also completed by virtue of the entangled state representation.

关 键 词：quadrature excitation Hermite-polynomial excitation state operator identities about Laguerrepolynomials IWOP method entangled state representation 

分 类 号：O431.2[机械工程—光学工程]