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

doi:10.1088/1674-1056/21/7/070301

中国物理B ›› 2012, Vol. 21 ›› Issue (7): 70301-070301.doi: 10.1088/1674-1056/21/7/070301

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

周军^{a b}, 范洪义^b, 宋军^{a b}

a 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, China

收稿日期:2011-12-21 修回日期:2012-01-07 出版日期:2012-06-01 发布日期:2012-06-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10905015 and 41104111) and the Excellent Young Talents Fund of Higher Schools in Anhui Province, China (Grant No. 2011SQRL147).

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

Zhou Jun(周军)^a)b)†, Fan Hong-Yi(范洪义)^b), and Song Jun(宋军)^a)b)

a 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, China

Received:2011-12-21 Revised:2012-01-07 Online:2012-06-01 Published:2012-06-01
Contact: Zhou Jun E-mail:zhj0064@mail.ustc.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10905015 and 41104111) and the Excellent Young Talents Fund of Higher Schools in Anhui Province, China (Grant No. 2011SQRL147).

摘要/Abstract

摘要： 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 81]. 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 nonclassicality is displayed in terms of the intense oscillation of photon-number distribution and the negativity of the Wigner function.

关键词: non-Gaussian state, Hermite polynomial, squeezed coherent state, Wigner function

Abstract: 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 81]. 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 nonclassicality is displayed in terms of the intense oscillation of photon-number distribution and the negativity of the Wigner function.

Key words: non-Gaussian state, Hermite polynomial, squeezed coherent state, Wigner function

中图分类号: (Quantum mechanics)

03.65.-w

42.50.-p (Quantum optics)

周军, 范洪义, 宋军. A new type of photon-added squeezed coherent state and its statistical properties[J]. 中国物理B, 2012, 21(7): 70301-070301.

Zhou Jun(周军), Fan Hong-Yi(范洪义), and Song Jun(宋军) . A new type of photon-added squeezed coherent state and its statistical properties[J]. Chin. Phys. B, 2012, 21(7): 70301-070301.

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

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

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