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Thermal Entanglement in a Ising Spin Chain with Dzyaloshinski-Moriya Anisotropic Antisymmetric Interaction in a Nonuniform Magnetic Field

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Abstract

The thermal entanglement in the two-qubit Ising spin chain in the presence of the Dzyaloshinski-Moriya(DM) anisotropic antisymmetric interaction in a nonuniform magnetic field is investigated. The influences of the DM coupling constant D, the temperature T, the uniform external magnetic field B and the nonuniform magnetic field h on the thermal entanglement measured by the concurrence C are studied in detail. The results show that both the increasing T and |B| decrease the C, but the increasing D develops the C, and D can also heighten the values of the threshold magnetic field |Bt| and the temperature Tt above which the thermal entanglement vanishes. And for a definite D, the increasing T makes the |Bt| become bigger as well. By comparison, before and after the critical temperature Tc, the h has different effects on C. Within a certain temperature range, the increasing h makes the C rise firstly and then fall. What’s more, as the h increases, the key temperature Tk at which the C reaches the maximum value increases. As a result, the thermal entanglement can be controlled by adjusting the values of B, h, D and T in various terrible environment, such as in strong external magnetic field, or high temperature environment, which will be useful in the research of quantum information in solid systems.

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  1. School of Information Science and Technology, Xiamen University Tan Kah Kee College, Zhangzhou, 363105, China

    Li-Yuan Huang

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Huang, LY. Thermal Entanglement in a Ising Spin Chain with Dzyaloshinski-Moriya Anisotropic Antisymmetric Interaction in a Nonuniform Magnetic Field. Int J Theor Phys 60, 4023–4029 (2021). https://doi.org/10.1007/s10773-020-04686-9

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  • DOI: https://doi.org/10.1007/s10773-020-04686-9

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