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Nonclassicality and decoherence of coherent superposition operation of photon subtraction and photon addition on squeezed state |
Xu Li-Juan (徐莉娟), Tan Guo-Bin (谭国斌), Ma Shan-Jun (马善钧), Guo Qin (郭琴) |
College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China |
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Abstract The statistical properties of m-coherent superposition operation (μa+νa+)m on the single-mode squeezed vacuum state (M-SSVS) and its decoherence in a thermal environment have been studied. Converting the M-SSVS to a squeezed Hermite polynomial excitation state, we obtain a compact expression for the normalization factor of M-SSVS, which is the Legendre polynomial of the squeezing parameter. We also derive the explicit expression of Wigner function (WF) of M-SSVS, and find the negative region of WF in phase space. The decoherence effect on this state is then discussed by deriving the time evolution of the WF. Using the negativity of WF, the loss of nonclassicality has been discussed.
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Received: 20 April 2012
Revised: 07 September 2012
Accepted manuscript online:
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PACS:
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03.65.Yz
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(Decoherence; open systems; quantum statistical methods)
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05.30.-d
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(Quantum statistical mechanics)
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42.50.Ar
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Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11047133), and the Natural Science Foundation of Jiangxi Province, China (Grant Nos. 20114BAB202004 and 2009GZW0006), and the Research Foundation of the Education Department of Jiangxi Province, China (Grant No. GJJ11390). |
Corresponding Authors:
Ma Shan-Jun
E-mail: shanjunma@126.com
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Cite this article:
Xu Li-Juan (徐莉娟), Tan Guo-Bin (谭国斌), Ma Shan-Jun (马善钧), Guo Qin (郭琴) Nonclassicality and decoherence of coherent superposition operation of photon subtraction and photon addition on squeezed state 2013 Chin. Phys. B 22 030311
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[1] |
Kim M S 2008 J. Phys. B 41 133001
|
[2] |
Gardiner C and Zoller P 2000 Quantum Noise (Berlin: Springer)
|
[3] |
Aspachs M J, Calsamiglia R, Muñoz-Tapia R and Bagan E 2009 Phys. Rev. A 79 033834
|
[4] |
Marian P and Marian T A 1993 Phys. Rev. A 47 4487
|
[5] |
Marian P and Marian T A 1993 Phys. Rev. A 47 4474
|
[6] |
Fiurasek J and Cerf N J 2004 Phys. Rev. Lett. 93 063601
|
[7] |
Bouwmeester D, Ekert A and Zeilinger A 2000 The Physics of Quantum Information (Berlin: Springer-Verlag)
|
[8] |
Zavatta A, Viciani S and Bellini M 2004 Science 306 660
|
[9] |
Zavatta A, Viciani S and Bellini M 2005 Phys. Rev. A 72 023820
|
[10] |
Zavatta A, Parigi V and Bellini M 2007 Phys. Rev. A 75 052106
|
[11] |
Parigi V, Zavatta A, Kim M S and Bellini M 2007 Science. 317 1890
|
[12] |
Wenger J, Tualle-Brouri R and Grangier P 2004 Phys. Rev. Lett. 92 153601
|
[13] |
Neergaard-Nielsen J S, Nielsen B M, Hettich C, Momer K and Polzik E S 2006 Phys. Rev. Lett. 97 083604
|
[14] |
Ourjoumtsev A, Tualle-Brouri R, Laurat J and Grangier Ph 2006 Science 312 83
|
[15] |
Wakui K, Takahashi H, Furusawa A and Sasaki M 2007 Opt. Express 15 3568
|
[16] |
Dakna M, Anhut T, Opatrny T, Knoll L and Welsch D G 1997 Phys. Rev. A 55 3184
|
[17] |
Glancy S and Vasconcelos H M 2008 J. Opt. Soc. Am. B 25 712
|
[18] |
Spagnolo N, Vitelli C, Angelis T D, Sciarrino F and Martini F D 2009 Phys. Rev. A 80 032318
|
[19] |
Xu X X, Yuan H, C and Fan H Y 2011 Chin. Phys. B 20 024203
|
[20] |
Ourjoumtsev A, Dantan A, Tualle-Brouri R and Grangier Ph 2007 Phys. Rev. Lett. 98 030502
|
[21] |
Browne D E, Eisert J, Scheel S and Plenio M B 2003 Phys. Rev. A 67 062320
|
[22] |
García-Patrón R, Fiurášek J, Cerf N J, Wenger J, Tualle-Brouri R and Grangier P 2004 Phys. Rev. Lett. 93 130409
|
[23] |
Bartlett S D and Sanders B C 2002 Phys. Rev. A 65 042304
|
[24] |
Hu L Y and Fan H Y 2010 J. Mod. Opt. 57 1344
|
[25] |
Ma S J, Luo W W 2012 Chin. Phys. B 21 024203
|
[26] |
Liang B L, Meng X G and Wang J S 2007 Acta Phys. Sin. 56 2160 (in Chinese)
|
[27] |
Hu L Y and Fan H Y 2008 J. Opt. Soc. Am. B 25 1955
|
[28] |
Lee S Y, Ji S W, Kim H J and Nha H 2011 Phys. Rev. A 84 012302
|
[29] |
Hu L Y, Xu X X and Fan H Y 2010 J. Opt. Soc. Am. B 27 286
|
[30] |
Xu L J, Tan G B and Ma S J 2011 Opt. Commun. 284 3335
|
[31] |
Hu L Y and Fan H Y 2009 Opt. Commun. 282 4379
|
[32] |
Hu L Y, Xu X X, Wang Z S and Xu X F 2010 Phys. Rev. A 82 043842
|
[33] |
SudarshanE C G 1963 Phys. Rev. Lett. 10 277
|
[34] |
Methta C L 1967 Phys. Rev. Lett. 18 752
|
[35] |
Zhu K C, Li S X, Tang Y, Zheng X J and Tang H Q 2012 Chin. Phys. B 21 084204
|
[36] |
Fan H Y 1987 Phys. Lett. A 124 303
|
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