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Two-Mode Excited Entangled Coherent State: Nonclassicality and Entanglement

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Abstract

Two-mode excited entangled coherent states (TME-ECSs) are introduced by operating repeatedly the photon-excited operator on the ECSs. It is shown that the normalization constant is related to the product of two Laguerre polynomials. The influence of the operation on nonclassical behaviour of the ECSs is investigated in terms of cross-correlation function, anti-bunching effect and the negativity of Wigner function, which show that nonclassical properties can be enhanced. In addition, inseparability properties of the TME-ECSs are discussed by using Bell inequality and concurrence. It is found that the degree of quantum entanglement of even ECSs increases with the increase of the total excited photon number, and the violation of Bell inequality can be present for both even and odd case only when the total excited photon numbers are even and odd, respectively.

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Acknowledgments

Project supported by the National Natural Science Foundation of China (Grant Nos. 11464018 and 11664017), the Natural Science Foundation of Jiangxi Province of China (Grant No. 20151BAB212006), and the Research Foundation of the Education Department of Jiangxi Province of China (No. GJJ14274) as well as Degree and postgraduate education teaching reform project of Jiangxi province (No. JXYJG-2013-027).

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Authors and Affiliations

  1. Center for Quantum Science and Technology, Jiangxi Normal University, Nanchang, 330022, China

    Hao-Liang Zhang, Jia-Ni Wu, Cun-Jin Liu, Yin-Quan Hu & Li-Yun Hu

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

    Hao-Liang Zhang, Jia-Ni Wu, Cun-Jin Liu & Li-Yun Hu

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  1. Hao-Liang Zhang
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  2. Jia-Ni Wu
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  3. Cun-Jin Liu
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  4. Yin-Quan Hu
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  5. Li-Yun Hu
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Correspondence to Li-Yun Hu.

Additional information

This project was supported by the National Natural Science Foundation of China (Nos.11264018 and 11664017), the Natural Science Foundation of Jiangxi Province (No. 20151BAB212006), and Degree and postgraduate education teaching reform project of Jiangxi province (No. JXYJG-2013-027).

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Zhang, HL., Wu, JN., Liu, CJ. et al. Two-Mode Excited Entangled Coherent State: Nonclassicality and Entanglement. Int J Theor Phys 56, 652–666 (2017). https://doi.org/10.1007/s10773-016-3207-4

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  • DOI: https://doi.org/10.1007/s10773-016-3207-4

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