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Controllability and Robustness of Quantum Correlation in XXZ Heisenberg Model With Dzyaloshinskii –Moriya Interaction and Homogeneous Magnetic Field

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Abstract

In this paper we study the quantum correlation described by geometric quantum discord and thermal entanglement in a three-qubit XXZ Heisenberg model with Dzyaloshinskii-Moriya interaction and homogeneous magnetic field. Here, we discuss the influence of magnetic field \(\mathbf{B}\), impurity parameter \(\gamma\), DM interaction \(D\) and exchange interaction constant \(J,{J}_{z}\) on quantum correlation such as the geometric quantum discord and the thermal entanglement for the antiferromagnetic. The quantum correlation such as the geometric quantum discord and entanglement can be remarkable controlled, and the geometric quantum discord is more robust for temperature than entanglement. The calculation results show that different factors can essentially affect the quantum correlation between the sites.

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Data are available from the corresponding author upon reasonable request.

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Acknowledgements

This work was supported by the State Academy of Sciences, DPR of Korea.

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  1. Department of Physics, University of Sciences, Unjong District, Pyongyang, 950003, Democratic People’s Republic of Korea

    Su-Bok Ri, Won-Gwan Kim, Ri-Jong Choe, Ha Kim & Jong-Yon Kim

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  1. Su-Bok Ri
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  2. Won-Gwan Kim
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Ri, SB., Kim, WG., Choe, RJ. et al. Controllability and Robustness of Quantum Correlation in XXZ Heisenberg Model With Dzyaloshinskii –Moriya Interaction and Homogeneous Magnetic Field. Int J Theor Phys 62, 118 (2023). https://doi.org/10.1007/s10773-023-05381-1

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