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Non-Gaussian correlation estimates of two-mode hybrid entangled states via cross-Kerr medium and cumulant method

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Abstract

We characterize the non-Gaussian character of two-mode continuous-variable states based on the phase-averaged cumulant approach. We study the dynamics of non-Gaussianity of two-mode hybrid entangled states generated via the cross-Kerr nonlinearity by analyzing the fourth-order phase-averaged cumulant. It is shown that for a case of stronger coherent for one incident light, the non-Gaussianity undergoes some oscillations conditioned on the initial conditions of another incident light. Interestingly, one can simultaneously obtain the two-mode state’s maximum entanglement and highly non-Gaussian correlations by controlling the cross-Kerr interaction. Finally, we discuss the relationship between the entanglement and the variational non-Gaussianity of such states.

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Authors and Affiliations

  1. School of Mechanical, Optoelectronics and Physics, Huaihua University, Huaihua, 418008, P.R. China

    Shao-Hua Xiang & Ke-Hui Song

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  1. Shao-Hua Xiang
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  2. Ke-Hui Song
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Correspondence to Shao-Hua Xiang.

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Xiang, SH., Song, KH. Non-Gaussian correlation estimates of two-mode hybrid entangled states via cross-Kerr medium and cumulant method. Eur. Phys. J. D 72, 185 (2018). https://doi.org/10.1140/epjd/e2018-90243-3

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  • DOI: https://doi.org/10.1140/epjd/e2018-90243-3

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