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The measurement-induced nonlocality of two spins in a single-model cavity system

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Abstract

We investigate the dynamics of measurement-induced nonlocality (MIN) with two spins in an ideal single-mode optical cavity. The two-spin entangled states are generated firstly under the photon coherent state assumption by means of the variational method. The time evolution of MIN is then examined based on the derived analytical expressions of the reduced density operator of two spins. It is shown that MIN remains in its upper bound all the time and independent of the average photon number of the coherent field when the two spins are initially in the singlet state, which just is the eigenstate of our model. However, for the initial general two-spin entangled states of antiparallel and parallel spin polarizations, MIN strongly depends on the average photon number and initial angle parameters. We provide a detailed analysis of MIN dynamics by the numerical calculation, and reveal some significant results.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11105087,11772177,12047571), and the Science and Technological Innovation Programs of Higher Education institutions in Shanxi Province (STIP) (Grant Nos. 2019L0069, 2020L0586, 2020L0607).

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Authors and Affiliations

  1. Institute of Theoretical Physics, State Key Laboratory of Quantum Optics and Quantum Optics Devices, Shanxi University, Taiyuan, 030006, Shanxi, China

    Xue-Yun Bai, Ni Liu, Jun-Qi Li & J.-Q. Liang

  2. School of Mathematics, Jinzhong University, Jinzhong, 030619, Shanxi, China

    Xue-Min Bai

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Correspondence to Jun-Qi Li.

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Bai, XY., Bai, XM., Liu, N. et al. The measurement-induced nonlocality of two spins in a single-model cavity system. Quantum Inf Process 20, 364 (2021). https://doi.org/10.1007/s11128-021-03315-6

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