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

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.

Keywords: annihilation-then-creation creation-then-annihilation Wigner function nonclassicality

Received: 27 November 2013
Revised: 02 January 2014
Accepted manuscript online:

PACS:	03.65.-w	(Quantum mechanics)
	42.50
	-p
	03.67.-a	(Quantum information)

Fund: 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).

Corresponding Authors: Xu Xue-Xiang
E-mail: xxxjxnu@gmail.com

About author: 03.65.-w; 42.50; -p; 03.67.-a

Cite this article:

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 2014 Chin. Phys. B 23 070301

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

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