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Chin. Phys. B, 2020, Vol. 29(10): 100302    DOI: 10.1088/1674-1056/ab99b2
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Damping of displaced chaotic light field in amplitude dissipation channel

Ke Zhang(张科)1, Lan-Lan Li(李兰兰)1, and Hong-Yi Fan(范洪义)2,
1 School of Electronic Engineering, Huainan Normal University, Huainan 232038, China
2 University of Science and Technology of China, Hefei 230031, China
Abstract  

We explore how a displaced chaotic light (DCL) behaves in an amplitude dissipation channel, and what is its time evolution formula of photon number distribution. With the use of the method of integration within ordered product product of operator (IWOP) and the new binomial theorem involving two-variable Hermite polynomials we obtain the evolution law of DCL in the channel.

Keywords:  displaced chaotic light      amplitude dissipation channel      time evolution formula      IWOP  
Received:  23 May 2020      Revised:  29 May 2020      Accepted manuscript online:  05 June 2020
PACS:  03.65.-w (Quantum mechanics)  
  42.50.-p (Quantum optics)  
  63.20.-e (Phonons in crystal lattices)  
Corresponding Authors:  Corresponding author. E-mail: fhym@ustc.edu.cn   
About author: 
†Corresponding author. E-mail: fhym@ustc.edu.cn
* Project supported by the National Natural Science Foundation of China (Grant No. 11775208) and Key Projects of Huainan Normal University (Grant No. 2019XJZD04).

Cite this article: 

Ke Zhang(张科), Lan-Lan Li(李兰兰), and Hong-Yi Fan(范洪义)† Damping of displaced chaotic light field in amplitude dissipation channel 2020 Chin. Phys. B 29 100302

[1]
Gilles L, Knight P L 1992 J. Mod. Opt. 39 1411 DOI: 10.1080/09500349214551471
[2]
Ren G, Du J M, Yu H J 2013 Int. J. Theor. Phys. 52 3564 DOI: 10.1007/s10773-013-1659-3
[3]
Meng X G, Wang Z, Fan H Y 2012 J.Opt. Soc. Am. B 29 1844 DOI: 10.1364/JOSAB.29.001844
[4]
Si K, Zang M, Jia H Y 2009 Chin. Phys. B 18 4887 DOI: 10.1088/1674-1056/18/11/045
[5]
Meier C, Tannor D J 1999 J. Chem. Phys. 111 3365 DOI: 10.1063/1.479669
[6]
Ashrafifi S M, Bazrafkan M R 2014 Chin. Phys. B 23 090303 DOI: 10.1088/1674-1056/23/9/090303
[7]
Zhu W, Huang Y, Kouri D J 1994 Chem. Phys. Lett. 217 73 DOI: 10.1016/0009-2614(93)E1345-H
[8]
Fan H Y, Hu L Y 2009 Chin. Phys. B 18 1061 DOI: 10.1088/1674-1056/18/3/037
[9]
Fan H Y, Zaidi H R 1987 Phys. Lett. A 124 303 DOI: 10.1016/0375-9601(87)90016-8
[10]
Fan H Y, Wang J S 2007 Commun. Theor. Phys. 47 431 DOI: 10.1088/0253-6102/47/3/010
[11]
Meng X G, Wang J S, Li H Q 2008 Chin. Phys. B 17 2973 DOI: 10.1088/1674-1056/17/8/035
[12]
Hu L Y, Fan H Y, Zhang Z M 2013 Chin. Phys. B 22 034202 DOI: 10.1088/1674-1056/22/3/034202
[13]
Yuan H C, Li H M, Xu X F 2013 Chin. Phys. B 22 060301 DOI: 10.1088/1674-1056/22/6/060301
[14]
Hu L Y, Fan H Y 2008 J. Mod. Opt. 55 2011 DOI: 10.1080/09500340801947629
[15]
Hu L Y, Fan H Y 2008 Commun. Theor. Phys. 50 965 DOI: 10.1088/0253-6102/50/4/35
[16]
Eriksson K E, Skagerstam B S 1981 Phys. Rev. D 24 2615 DOI: 10.1103/PhysRevD.24.2615
[17]
Xie C M, Fan H Y, Wan S L 2010 Chin. Phys. B 19 064207 DOI: 10.1088/1674-1056/19/6/064207
[18]
Wang J S, Meng X G, Liang B L 2010 Chin. Phys. B 19 014207 DOI: 10.1088/1674-1056/19/1/014207
[19]
Fan H Y, Zaidi H R, Klauder J R 1987 Phys. Rev. D 35 1831 DOI: 10.1103/PhysRevD.35.1831
[20]
Fan H Y, Tong G L 1989 Commun. Theor. Phys. 11 291 DOI: 10.1088/0253-6102/11/3/291
[21]
Chen J H, Fan H Y 2009 Chin. Phys. B 18 3714 DOI: 10.1088/1674-1056/18/9/018
[22]
Fan H Y, Fan Y, Song T Q 2002 Phys. Lett. A 305 222 DOI: 10.1016/S0375-9601(02)01453-6
[23]
Yuan H C, Li H M, Xu X F 2013 Chin. Phys. B 22 060301 DOI: 10.1088/1674-1056/22/6/060301
[24]
Fan H Y 2002 Phys. Rev. A 65 064102 DOI: 10.1103/PhysRevA.65.064102
[25]
Fan H Y 1992 Commun. Theor. Phys. 17 469 DOI: 10.1088/0253-6102/17/4/469
[26]
Fan H Y 1989 Commun. Theor. Phys. 12 219 DOI: 10.1088/0253-6102/12/2/219
[27]
Meng X G, Liu J M, Wang J S, Fan H Y 2019 Eur. Phys. J. D 73 32 DOI: 10.1140/epjd/e2018-90224-6
[28]
Mamedov B A, Tapramaz R, Merdan Z 2005 Appl. Math. Comput. 168 333
[29]
Weiss G H, Maradudin A A 1962 J. Math. Phys. 3 771 DOI: 10.1063/1.1724280
[30]
Newman M, So W, Thompson R C 1989 Linear Multilinear A 24 301
[31]
Kolsrud M 1993 J. Math. Phys. 34 270 DOI: 10.1063/1.530381
[32]
Fan H Y, Lou S Y 2015 Chin. Phys. B 24 070305 DOI: 10.1088/1674-1056/24/7/070305
[33]
Fan H Y, He R, Da C, Liang Z F 2013 Chin. Phys. B 22 080301 DOI: 10.1088/1674-1056/22/8/080301
[34]
Rassias T M, Srivastava H M 1993 J. Math. Anal. Appl. 174 528 DOI: 10.1006/jmaa.1993.1137
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