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Examining quantum correlations in the XY spin chain by local quantum uncertainty

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Abstract

We study the thermal quantum correlations in terms of entanglement, quantum discord (QD) and local quantum uncertainty (LQU) in the XY spin chain, and analyze their capability in detecting the critical points of quantum phase transition. By considering the effects of the three-site interaction, site distance, system size and anisotropy parameter, we show that LQU is superior to QD in detecting the critical points. The advantages of LQU are not to be restricted to zero temperature, and it is possible to estimate the critical points at high temperature. Furthermore, the properties of LQU are very interesting and exhibit different quantum correlations which cannot be shown by entanglement and QD.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China Grant Nos. 11305114, 11304226, 11205056 and the China Postdoctoral Science Foundation under Grant No. 2012M520237, as well as by the National Natural Science Foundation of Hebei Province of China under Grant No. A2012202028 and Natural Science Foundation of Tianjin Normal University of China under Grant No. 5RL113.

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Authors and Affiliations

  1. College of Physics and Materials Science, Tianjin Normal University, Tianjin, 300387, China

    Jin-Liang Guo, Jin-Long Wei & Wan Qin

  2. Mathematics and Physics Department, North China Electric Power University, Beijing, 102206, China

    Qing-Xia Mu

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  1. Jin-Liang Guo
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  2. Jin-Long Wei
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  3. Wan Qin
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Correspondence to Jin-Liang Guo.

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Guo, JL., Wei, JL., Qin, W. et al. Examining quantum correlations in the XY spin chain by local quantum uncertainty. Quantum Inf Process 14, 1429–1442 (2015). https://doi.org/10.1007/s11128-015-0933-0

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