Generalized photon-added coherent state and its quantum statistical properties

In this paper, we propose a class of the generalized photon-added coherent states （GPACSs） obtained by repeatedly operating the combination of Bosonie creation and annihilation operatoes on the coherent state. The normalization factor of GPACS is related to Hermite polynomial. We also derive the exp...

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Bibliographic Details
Published inChinese physics B Vol. 19; no. 10; pp. 296 - 304
Main Author Yuan Hong-Chun Xu Xue-Xiang Fan Hong-Yi
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.10.2010
Subjects
Hermite多项式
Wigner函数
光子数
操作系统
相干态
统计性质
量子态
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Summary:In this paper, we propose a class of the generalized photon-added coherent states （GPACSs） obtained by repeatedly operating the combination of Bosonie creation and annihilation operatoes on the coherent state. The normalization factor of GPACS is related to Hermite polynomial. We also derive the explicit expressions of its statistical properties such as photocount distribution, Wigner function and tomogram and investigate their behaviour as the photon-added number varies graphically. It is found that GPACS is a kind of nonclassical state since Wigner function exhibits the negativity by increasing the photon-added number.
Bibliography:generalized photon-added coherent state, photocount distribution, Wigner function, tomogram
11-5639/O4
O414.2
O431
ISSN:1674-1056
2058-3834
DOI:10.1088/1674-1056/19/10/104205