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Dynamics of the Geometric Measure of Quantum Discord and Bell Non-Locality in a Ring Cavity Induced by Spontaneous Emission

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Abstract

By virture of taking into account the two atoms’ spatial motion, we evaluate the dynamics of geometric measure of quantum discord(GMQD) and Bell nonlocality of a two-qubit system in an ideal single-mode ring cavity for two types of extended Werner-like(EWL) internal states. It is shown that both Bell nonlocality and GMQD are closely related to the initial entanglement parameter, the initial state’s purity and the wave packet’s width. We also find that, for the initial state \(W_{\pm }^{{\acute {}}}\), the sudden disappearance and sudden regeneration of GMQD and Bell nonlocality both happen, while for the initial state W±, the phenomena of sudden disappearance and sudden regeneration of Bell nonlocality still exist, but that of GMQD does not occur, that is, GMQD decays to zero asymptotically as time goes on. What’s more, we have proved that the preservation of GMQD is much longer than that of Bell-inequality violation.

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Acknowledgment

This work is supported by the National Natural Science Foundation of China under Grant No. 11105021, 11175044 and 11647102.

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Authors and Affiliations

  1. Information Science and Engineering College, Dalian Polytechnic University, Dalian, 116034, China

    Yu-Jie Liu, Li Zheng & Ying Shi

  2. Northeast Normal University, Changchun, 130000, China

    Yu-Jie Liu & Tai-Yu Zheng

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  1. Yu-Jie Liu
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  2. Li Zheng
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  3. Ying Shi
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  4. Tai-Yu Zheng
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Correspondence to Tai-Yu Zheng.

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Liu, YJ., Zheng, L., Shi, Y. et al. Dynamics of the Geometric Measure of Quantum Discord and Bell Non-Locality in a Ring Cavity Induced by Spontaneous Emission. Int J Theor Phys 58, 824–835 (2019). https://doi.org/10.1007/s10773-018-3978-x

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  • DOI: https://doi.org/10.1007/s10773-018-3978-x

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