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Quantum Correlation in the XY Spin Model with Anisotropic Three-Site Interaction

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Abstract

We investigate pairwise entanglement and quantum discord (QD) in the XY spin model with anisotropic three-site interaction at zero and finite temperatures. For both the nearest-neighbor spins and the next nearest-neighbor spins, special attention is paid to the dependence of entanglement and QD on the anisotropic parameter \(\delta \) induced by the next nearest-neighbor spins. We show that the behavior of QD differs in many ways from entanglement under the influences of the anisotropic three-site interaction at finite temperatures. More important, comparing the effects of \(\delta \) on the entanglement and QD, we find the anisotropic three-site interaction plays an important role in the quantum correlations at zero and finite temperatures. It is found that \(\delta \) can strengthen the quantum correlation for both the nearest-neighbor spins and the next nearest-neighbor spins, especially for the nearest-neighbor spins at low temperature.

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Acknowledgments

This work was supported by the Natural Science Foundation of China (Grant Nos. 11305114, 11304226, 11505126), and the Program for Innovative Research in University of Tianjin (Grant No.TD13-5077).

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Correspondence to Jin-Liang Guo.

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Wang, Y., Chai, BB. & Guo, JL. Quantum Correlation in the XY Spin Model with Anisotropic Three-Site Interaction. Int J Theor Phys 57, 2504–2512 (2018). https://doi.org/10.1007/s10773-018-3772-9

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  • DOI: https://doi.org/10.1007/s10773-018-3772-9

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