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Quantum coherence versus non-classical correlations in XXZ spin-chain under Dzyaloshinsky–Moriya (DM) and KSEA interactions

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We address the dynamics of quantum coherence and non-classical correlations in a two-qubit one-dimensional XXZ Heisenberg spin-\(\frac{1}{2}\) chain when exposed to a homogeneous magnetic field and characterized by the combined effects of temperature, Dzyaloshinsky–Moriya (DM), Kaplan–Shekhtman–Entin–Wohlman–Aharony (KSEA) interactions. Using local quantum uncertainty, we estimate quantum correlations in the considered thermal state, whereas quantum coherence is measured using \(\ell _1\) norm of coherence and relative entropy of coherence. We show that the qualitative as well as the quantitative features of the quantum correlations and coherence depend largely upon the parameters of the two-qubit spin-chain and magnetic field. Quantum correlations and coherence in spin chains have distinct natures and behave differently, which we find intriguing. The \(\ell _1\) norm of coherence was shown to be more dependable than the relative entropy of coherence for quantifying coherence. The dynamical behavior of quantum correlations and coherence has been proven to be largely non-oscillatory. We further show that depending on the temperature, DM, and KSEA interaction strengths, not only can the coherence and non-classical correlations be preserved, but that the initial mixed states can be readily transformed into maximally correlated and coherent states.

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Authors and Affiliations

  1. Laboratory of High Energy Physics and Condensed Matter, Department of Physics, Faculty of Sciences of Aïn Chock, Hassan II University, 20100, Casablanca, Morocco

    Mansoura Oumennana & Mostafa Mansour

  2. Key Laboratory of Aerospace Information Security and Trusted Computing, Ministry of Education, School of Cyber Science and Engineering, Wuhan University, P.O. Box 430072, Wuhan, China

    Atta Ur Rahman

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Oumennana, M., Rahman, A.U. & Mansour, M. Quantum coherence versus non-classical correlations in XXZ spin-chain under Dzyaloshinsky–Moriya (DM) and KSEA interactions. Appl. Phys. B 128, 162 (2022). https://doi.org/10.1007/s00340-022-07881-0

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