A new type of photon-added squeezed coherent state and its statistical properties

We construct a new type of photon-added squeezed coherent state generated by repeatedly operating the bosonic creation operator on a new type of squeezed coherent state [Fan H Y and Xiao M 1996 Phys. Lett. A 220 81l. We find that its normalization factor is related to single-variable Hermite polynom...

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Published inChinese physics B Vol. 21; no. 7; pp. 92 - 100
Main Author 周军 范洪义 宋军
Format Journal Article
LanguageEnglish
Published 01.07.2012
Subjects
Coherence
Construction
Functions (mathematics)
Hermite polynomials
Hermite多项式
Mathematical analysis
Operators
Oscillations
Wigner函数
光子数分布
创造者
压缩相干态
归一化因子
玻色子
统计性质
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ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/21/7/070301

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Summary:We construct a new type of photon-added squeezed coherent state generated by repeatedly operating the bosonic creation operator on a new type of squeezed coherent state [Fan H Y and Xiao M 1996 Phys. Lett. A 220 81l. We find that its normalization factor is related to single-variable Hermite polynomials. Furthermore, we investigate its statistical properties, such as Mandel＇s Q parameter, photon-number distribution, and Wigner function. The nonelassieality is displayed in terms of the intense oscillation of photon-number distribution and the negativity of the Wigner function.
Bibliography:We construct a new type of photon-added squeezed coherent state generated by repeatedly operating the bosonic creation operator on a new type of squeezed coherent state [Fan H Y and Xiao M 1996 Phys. Lett. A 220 81l. We find that its normalization factor is related to single-variable Hermite polynomials. Furthermore, we investigate its statistical properties, such as Mandel＇s Q parameter, photon-number distribution, and Wigner function. The nonelassieality is displayed in terms of the intense oscillation of photon-number distribution and the negativity of the Wigner function.
Zhou Jun, Fan Hong-Yi and Song Juna） Department of Material and Chemical Engineering, West Anhui University, Liu＇an 237012, China b） Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026
11-5639/O4
non-Gaussian state, Hermite polynomial, squeezed coherent state, Wigner function
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ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/21/7/070301