Higher-order nonclassical effects generated by multiple-photon annihilation-then-creation and creation-then-annihilation coherent states

doi:10.1088/1674-1056/25/5/054202

Abstract

We explore two observable nonclassical properties of quantum states generated by repeatedly operating annihilation-then-creation (AC) and creation-then-annihilation (CA) on the coherent state, respectively, such as higher-order sub-Poissonian statistics and higher-order squeezing-enhanced effect. The corresponding analytical expressions are derived in detail depending on m. By numerically comparing those quantum properties, it is found that these states above have very different nonclassical properties and nonclassicality is exhibited more strongly after AC operation than after CA operation.

Keywords: non-Gaussian operation sub-Poissonian statistics higher-order squeezing

Received: 19 July 2015
Accepted manuscript online:

PACS:	42.50.Dv	(Quantum state engineering and measurements)
	42.50.-p	(Quantum optics)
	03.65.-w	(Quantum mechanics)

Fund:

Project supported by the National Natural Science Foundation of China (Grant Nos. 11447002 and 11447202), the Natural Science Foundation of Jiangxi Province of China (Grant No. 20151BAB202013), and the Research Foundation for Changzhou Institute of Modern Optoelectronic Technology of China (Grant No. CZGY15).

Corresponding Authors: Hong-Chun Yuan
E-mail: yuanhch@126.com

Cite this article:

Hong-Chun Yuan(袁洪春), Xue-Xiang Xu(徐学翔), Jin Xiao(肖进), Chao Xiong(熊超), Xi-Fang Zhu(朱锡芳) Higher-order nonclassical effects generated by multiple-photon annihilation-then-creation and creation-then-annihilation coherent states 2016 Chin. Phys. B 25 054202

[1]	Dodonov V V 2002 J. Opt. B: Quantum Semiclass. Opt. 4 R1
[2]	Hu L Y, Xu X X, Wang Z S and Xu X F 2010 Phys. Rev. A 82 043842
[3]	Meng X G, Wang Z, Fan H Y and Wang J S 2012 J. Opt. Soc. Am. B 29 3141
[4]	Wang Z, Li H M and Yuan H C 2014 J. Opt. Soc. Am. B 31 2163
[5]	Short R and Mandel L 1983 Phys. Rev. Lett. 51 384
[6]	Hong C K and Mandel L 1985 Phys. Rev. Lett. 54 323
[7]	Kimble H J, Dagenais M and Mandel L 1977 Phys. Rev. Lett. 39 691
[8]	Hillery M, O’Connell R F, ScullyMO andWigner E P 1984 Phys. Rep. 106 121
[9]	Agarwal G S and Tara K 1991 Phys. Rev. A 43 492
[10]	Duc T M and Noh J 2008 Opt. Commun. 281 2842
[11]	Xin Z Z, Duan Y B, Zhang H M, Hirayama M and Matumoto K 1996 J. Phys. B 29 4493
[12]	Lee S Y and Nha H 2010 Phys. Rev. A 82 053812
[13]	Lee S Y and Nha H 2012 Phys. Rev. A 85 043816
[14]	Lee S Y, Ji S W, Kim J and Nha H 2011 Phys. Rev. A 84 012302
[15]	Ji S W, Lee S Y and Nha H 2012 Phys. Rev. A 85 013839
[16]	Yuan H C, Xu X X and Fan H Y 2010 Chin. Phys. B 19 104205
[17]	Li H M and Xu X F 2012 Chin. Phys. B 21 024202
[18]	Xu X X, Yuan H C, Hu L Y and Fan H Y 2011 J. Phys. A: Math. Theor. 44 445306
[19]	Yang Y and Li F L 2009 J. Opt. Soc. Am. B 26 830
[20]	Wang Z, Yuan H C and Fan H Y 2011 J. Opt. Soc. Am. B 28 1964
[21]	Lee S Y, Park J, Ji SW, Ooi C H R and Lee HW2009 J. Opt. Soc. Am. B 26 1532
[22]	Xu X X, Yuan H C and Wang Y 2014 Chin. Phys. B 23 070301
[23]	Xu X X, Yuan H C and Zhou L 2015 Opt. Commun. 335 133
[24]	Riordan J 1980 An Introduction to Combinatorial Analysis (Princeton: Princeton University Press)
[25]	Lee C T 1990 Phys. Rev. A 41 1721
[26]	Agarwal G S and Tara K 1992 Phys. Rev. A 46 485
[27]	Li H M and Yuan H C 2010 Int. J Theor. Phys. 49 2121
[28]	Mandel L and Wolf E 1995 Optical Coherence and Quantum Optics (London: Cambridge University Press)
[29]	Hong C K and Mandel L 1985 Phys. Rev. A 32 974
[30]	Lee J, Kim J and Nha H 2009 J. Opt. Soc. Am. B 26 1363
[31]	Loudon R and Knight P L 1987 J. Mod. Opt. 34 709
[32]	Hillery M 1987 Phys. Rev. A 36 3796
[33]	Fan H Y and Lu Y L 2012 Front. Phys. 7 261
[34]	Rennie B C and Dobson A J 1969 J. Combinatorial Theor. 7 116
[35]	Fan H Y 2003 J. Opt. B: Quantum Semiclass. Opt. 5 R147

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Higher-order nonclassical effects generated by multiple-photon annihilation-then-creation and creation-then-annihilation coherent states

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