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The Intrinsic Decoherence Effects on Nonclassical Correlations in a Dipole-Dipole Two-Spin System with Dzyaloshinsky-Moriya Interaction

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Abstract

Bipolar spin systems are expected to provide a reliable and scalable platform for advances in quantum computing and nanotechnology. Thus, the survey of the dynamics of the quantum properties of such systems is of paramount importance. This work explores the dynamics of bipartite entanglement and nonclassical correlations in a dipole-dipole two spin system with Dzyaloshinsky-Moriya (DM) interaction and under the influence of the intrinsic decoherence effects. We employ logarithmic negativity to quantify quantum entanglement. Local quantum uncertainty and quantum discord are employed to capture non-classical correlations beyond entanglement in the considered system. For this purpose, we consider that the system is initially prepared in a Werner state and we explore the effect of intrinsic decoherence rate, dipolar coupling parameters between the spins, strength of the Dzyaloshinsky-Moriya interaction and the intensities of the homogeneous magnetic fields on the dynamics of the three quantifiers of correlations within the considered system. The findings reveal that intrinsic decoherence deteriorates quantum correlations, while the dipolar coupling constant diminishes the oscillatory behavior observed but enhances the robustness of bipartite entanglement and nonclassical correlations. The negative effects of the intrinsic decoherence on the quantum correlations can be mitigated by adjusting the values of the system’s parameters as well as the Dzyaloshinsky-Moriya coupling parameter. We also show that the three studied measures behave quasi-similarly. Finally, we depict that the amounts of entanglement and nonclassical correlations within the system are closely tied to the system’s degree of purity.

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Acknowledgment

M.O. acknowledges the financial support received from the National Center for Scientific and Technical Research (CNRST) under the Program of Excellence Grants for Research.

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

    Mansoura Oumennana, Essalha Chaouki & Mostafa Mansour

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  1. Mansoura Oumennana
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  2. Essalha Chaouki
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  3. Mostafa Mansour
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Contributions

M.M. has put forward the idea of the manuscript. E.C. and M.O. performed the computations and graphical tasks. M.O. and M.M. have contributed to interpreting the results. M.M. supervised the findings of this work. All authors have contributed to writing the manuscript. All authors have read and agreed to the final version of the manuscript.

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Correspondence to Mostafa Mansour.

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Oumennana, M., Chaouki, E. & Mansour, M. The Intrinsic Decoherence Effects on Nonclassical Correlations in a Dipole-Dipole Two-Spin System with Dzyaloshinsky-Moriya Interaction. Int J Theor Phys 62, 10 (2023). https://doi.org/10.1007/s10773-022-05255-y

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