Comparison between photon annihilation-then-creation and photon creation-then-annihilation thermal states：Non-classical and non-Gaussian properties

doi:10.1088/1674-1056/23/7/070301

›› 2014, Vol. 23 ›› Issue (7): 70301-070301.doi: 10.1088/1674-1056/23/7/070301

Comparison between photon annihilation-then-creation and photon creation-then-annihilation thermal states：Non-classical and non-Gaussian properties

徐学翔^{a b}, 袁洪春^c, 王燕^{a b}

a College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China;
b Key Laboratory of Optoelectronic and Telecommunication of Jiangxi, Nanchang 330022, China;
c College of Optoelectronic Engineering, Changzhou Institute of Technology, Changzhou 213002, China

收稿日期:2013-11-27 修回日期:2014-01-02 出版日期:2014-07-15 发布日期:2014-07-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11264018 and 11174114), the Research Foundation of the Education Department of Jiangxi Province of China (Grant Nos. GJJ12171 and GJJ12202), and the Science Fund for Youth of Jiangxi Province, China (Grant Nos. 20132BAB212006 and 2011ZBAB215036), the Open Foundation of the Key Laboratory of Optoelectronic and Telecommunication of Jiangxi Province, China (Grant No. 2013004), and the National Science Foundation of Jiangsu Higher Education Institute of China (Grant No. 12KJD140001).

Comparison between photon annihilation-then-creation and photon creation-then-annihilation thermal states：Non-classical and non-Gaussian properties

Xu Xue-Xiang (徐学翔)^{a b}, Yuan Hong-Chun (袁洪春)^c, Wang Yan (王燕)^{a b}

a College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China;
b Key Laboratory of Optoelectronic and Telecommunication of Jiangxi, Nanchang 330022, China;
c College of Optoelectronic Engineering, Changzhou Institute of Technology, Changzhou 213002, China

Received:2013-11-27 Revised:2014-01-02 Online:2014-07-15 Published:2014-07-15
Contact: Xu Xue-Xiang E-mail:xxxjxnu@gmail.com
About author:03.65.-w; 42.50; -p; 03.67.-a
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11264018 and 11174114), the Research Foundation of the Education Department of Jiangxi Province of China (Grant Nos. GJJ12171 and GJJ12202), and the Science Fund for Youth of Jiangxi Province, China (Grant Nos. 20132BAB212006 and 2011ZBAB215036), the Open Foundation of the Key Laboratory of Optoelectronic and Telecommunication of Jiangxi Province, China (Grant No. 2013004), and the National Science Foundation of Jiangsu Higher Education Institute of China (Grant No. 12KJD140001).

摘要/Abstract

摘要： We investigate the nonclassical properties of arbitrary number photon annihilation-then-creation operation (AC) and creation-then-annihilation operation (CA) to the thermal state (TS), whose normalization factors are related to the polylogarithm function. Then we compare their quantum characters, such as photon number distribution, average photon number, Mandel Q-parameter, purity and the Wigner function. Because of the noncommutativity between the annihilation operator and the creation operator, the ACTS and the CATS have different nonclassical properties. It is found that nonclassical properties are exhibited more strongly after AC than after CA. In addition we also examine their non-Gaussianity. The result shows that the ACTS can present a slightly bigger non-Gaussianity than the CATS.

关键词: annihilation-then-creation, creation-then-annihilation, Wigner function, nonclassicality

Abstract: We investigate the nonclassical properties of arbitrary number photon annihilation-then-creation operation (AC) and creation-then-annihilation operation (CA) to the thermal state (TS), whose normalization factors are related to the polylogarithm function. Then we compare their quantum characters, such as photon number distribution, average photon number, Mandel Q-parameter, purity and the Wigner function. Because of the noncommutativity between the annihilation operator and the creation operator, the ACTS and the CATS have different nonclassical properties. It is found that nonclassical properties are exhibited more strongly after AC than after CA. In addition we also examine their non-Gaussianity. The result shows that the ACTS can present a slightly bigger non-Gaussianity than the CATS.

Key words: annihilation-then-creation, creation-then-annihilation, Wigner function, nonclassicality

中图分类号: (Quantum mechanics)

03.65.-w

03.67.-a (Quantum information)

徐学翔, 袁洪春, 王燕. Comparison between photon annihilation-then-creation and photon creation-then-annihilation thermal states：Non-classical and non-Gaussian properties[J]. , 2014, 23(7): 70301-070301.

Xu Xue-Xiang (徐学翔), Yuan Hong-Chun (袁洪春), Wang Yan (王燕). Comparison between photon annihilation-then-creation and photon creation-then-annihilation thermal states：Non-classical and non-Gaussian properties[J]. Chin. Phys. B, 2014, 23(7): 70301-070301.

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Comparison between photon annihilation-then-creation and photon creation-then-annihilation thermal states：Non-classical and non-Gaussian properties

Comparison between photon annihilation-then-creation and photon creation-then-annihilation thermal states：Non-classical and non-Gaussian properties

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