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

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Abstract

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.

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Acknowledgments

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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Authors and Affiliations

  1. College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang, 330022, China

    Li Huang, Qin Guo, Li-ying Jiang, Ge Chen, Xue-xiang Xu & Wen Yuan

  2. Key Laboratory of Optoelectronic and Telecommunication of Jiangxi, Nanchang, 330022, China

    Qin Guo, Xue-xiang Xu & Wen Yuan

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  1. Li Huang
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  2. Qin Guo
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Correspondence to Qin Guo.

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Huang, L., Guo, Q., Jiang, Ly. et al. M Times Photon Subtraction-Addition Coherent Superposition Operated Odd-Schrődinger-cat State: Nonclassicality and Decoherence. Int J Theor Phys 54, 2952–2968 (2015). https://doi.org/10.1007/s10773-015-2534-1

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