International Journal of Theoretical Physics

, Volume 54, Issue 8, pp 2952–2968 | Cite as

M Times Photon Subtraction-Addition Coherent Superposition Operated Odd-Schrődinger-cat State: Nonclassicality and Decoherence

  • Li Huang
  • Qin GuoEmail author
  • Li-ying Jiang
  • Ge Chen
  • Xue-xiang Xu
  • Wen Yuan


We introduce a new non-Gaussian state (MCSO-OSCS), generated by m times coherent superposition operation acos θ + a sin θ (MCSO) on odd-Schrődinger-cat state |α 0〉 − | − α 0〉(OSCS), whose normalized constant is shown to be related to Hermite polynomials. We investigate the nonclassical properties of the MCSO-OSCS through Mandel’s Q-parameter, quadrature squeezing, the photocount distribution and Wigner function (WF), which is turned out to be influenced by parameters m, θ and α 0. Especially the volume of negative region of WF could increase through controlling the parameters m, θ and α 0. We also investigate the decoherence of the MCSO-OSCS in terms of the fadeaway of the negativity of WF in a thermal environment.


Non-Gaussian state Wigner function Coherent superposition operation odd-Schrődinger-cat state Decoherence 



This project was supported by the National Natural Science Foundation of China (Nos.11364021, 11364022, 11264016) and the Natural Science Foundation of Jiangxi Province of China (No.20142BAB202004) as well as the Research Foundation of the Education Department of Jiangxi Province of China (Nos.GJJ12171, GJJ12172).


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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • Li Huang
    • 1
  • Qin Guo
    • 1
    • 2
    Email author
  • Li-ying Jiang
    • 1
  • Ge Chen
    • 1
  • Xue-xiang Xu
    • 1
    • 2
  • Wen Yuan
    • 1
    • 2
  1. 1.College of Physics and Communication ElectronicsJiangxi Normal UniversityNanchangChina
  2. 2.Key Laboratory of Optoelectronic and Telecommunication of JiangxiNanchangChina

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