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Bell nonlocality, entanglement, and entropic uncertainty in a Heisenberg model under intrinsic decoherence: DM and KSEA interplay effects

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Abstract

Bell’s inequalities are described by the sums of correlations including non-commuting observables in each of two systems. Bell’s inequalities violation is possible since the accuracy of any joint measurement of mentioned observables would be limited by quantum uncertainty relations. In this work, we investigate the generating and robustness of two-qubit information resources including two-qubit Bell nonlocality, quantum entanglement, and entropic measurement uncertainty in a two neighboring spin-1/2 particles coupled via the Heisenberg XYZ interaction subjected to a transverse uniform magnetic field by applying Dzyaloshinskii–Moriya (DM) and Kaplan–Shekhtman–Entin–Wohlman–Aharony (KSEA) interactions under intrinsic decoherence. The influence of DM–KSEA interactions, external magnetic field, and intrinsic decoherence on the dynamics of quantum correlations in our mentioned model is analyzed. Interestingly, new dynamical features of Bell nonlocality, entanglement, and entropic uncertainty are obtained by regulating the initial state, system parameters, and decoherence. Therefore, our results provide a helpful understanding of such dynamics and might offer an insight into measurement estimating in open quantum systems.

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Authors and Affiliations

  1. Faculty of Computers and Information Technology, The Egyptian E-Learning University, Giza, 12611, Egypt

    Mostafa Hashem

  2. Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt

    Mostafa Hashem & Abdel-Baset A. Mohamed

  3. Faculty of Physics, Semnan University, P.O.Box 35195-363, Semnan, Iran

    Saeed Haddadi

  4. Saeed’s Quantum Information Group, P.O.Box 19395-0560, Tehran, Iran

    Saeed Haddadi

  5. Laboratory of High Energy and Condensed Matter Physics, Department of Physics, Faculty of Sciences Aïn Chock, University Hassan II, P.O. Box 5366, 20100, Maarif Casablanca, Morocco

    Youssef Khedif

  6. Department of Physics, Salman Farsi University of Kazerun, Kazerun, Iran

    Mohammad Reza Pourkarimi

  7. Department of Physics, Faculty of Sciences, University Ibn Tofail, Kénitra, Morocco

    Mohammed Daoud

  8. Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34151, Trieste, Italy

    Mohammed Daoud

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  1. Mostafa Hashem
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Contributions

MH and ABAM have proposed the main idea and performed the calculations. SH, YK, and MRP all contributed to the development of the idea, writing and discussions of the manuscript, and analyzing the results. Thorough checking of the paper was done by all authors.

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Correspondence to Saeed Haddadi.

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Hashem, M., Mohamed, AB.A., Haddadi, S. et al. Bell nonlocality, entanglement, and entropic uncertainty in a Heisenberg model under intrinsic decoherence: DM and KSEA interplay effects. Appl. Phys. B 128, 87 (2022). https://doi.org/10.1007/s00340-022-07802-1

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