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

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. Thi...

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Bibliographic Details
Published in:中国物理B：英文版 2013 (8), p.253-256
Main Author: 范洪义 何锐 笪诚 梁祖峰
Format: Article
Language:English
Subjects:
光场
埃尔米特多项式
拉盖尔多项式
正交模式
激发态
纠缠态表象
运营商
集成方法
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Summary: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.
ISSN:1674-1056
2058-3834