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Dynamics of two-qubit quantum nonlocality in a Heisenberg chain model with the intrinsic decoherence

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Abstract

This paper investigates the dynamics of two-spin nonlocality generation in a Heisenberg XXX chain with Dzyaloshinskii-Moriya (DM) and Kaplan-Shekhtman-Entin-Wohlman-Aharony (KSEA) interactions. We analyze the two-spin nonlocality dynamics by using uncertainty-induced nonlocality, maximal Bell function, and log-negativity. We demonstrate that a separable two-spin Heisenberg XXX chain state, induced by two-spin antiferromagnetic interaction as well as x-component of DM and KSEA interactions, could evolve to maximal two-spin nonlocality state. The ability of preserving the maximal uncertainty-induced nonlocality can be enhanced by increasing the coupling strength of the spin-spin interaction coupling. The hierarchy principle is maintained for the two-spin Bell nonlocality and log-negativity entanglement. The two-spin log-negativity dynamics exhibits the phenomena of sudden death and birth. The sudden-death phenomenon is due to the intrinsic decoherence, which also causes a reduction in the two-spin nonlocality. While the sudden-birth phenomenon is due to two-spin antiferromagnetic interaction as well as x-component of DM and KSEA interactions. The two-spin uncertainty-induced nonlocality is more robust, against the intrinsic decoherence, than the other types of the nonlocality. The results indicate that by boosting the two-spin antiferromagnetic interaction, the produced nonlocality (resulting from the DM and KSEA x-component interactions) can be shielded from the intrinsic decoherence effect.

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Correspondence and requests for materials should be addressed to A.-B. A. Mohamed.

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Acknowledgements

The authors are very grateful to the referees for their important remarks which improve the manuscript. The authors extend their appreciation to the Deputyship for Research & Innovation, Ministry of Education in Saudi Arabia for funding this research work through the project number (IF2/PSAU/2022/01/21163).

Funding

The authors extend their appreciation to the Deputyship for Research & Innovation, Ministry of Education in Saudi Arabia for funding this research work through the project number (IF2/PSAU/2022/01/21163).

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Authors and Affiliations

  1. Department of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam Bin Abdulaziz University, Al-Kharj, Saudi Arabia

    A.-B. A. Mohamed, F. M. Aldosari & A. M. Alsahli

  2. Department of Applied Physics and Astronomy, University of Sharjah, Sharjah, United Arab Emirates

    H. Eleuch

  3. College of Arts and Sciences, Abu Dhabi University, Abu Dhabi, 59911, United Arab Emirates

    H. Eleuch

  4. Institute for Quantum Science and Engineering, Texas A &M University, College Station, TX, 77843, USA

    H. Eleuch

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ABAM, AMA and FMA prepared all the figures and performed the mathematical calculations. ABAM, AMA and HE wrote the original draft. HE and FMA reviewed and edited the draft. All authors have read and agreed to the published version of the manuscript.

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Mohamed, AB.A., Aldosari, F.M., Alsahli, A.M. et al. Dynamics of two-qubit quantum nonlocality in a Heisenberg chain model with the intrinsic decoherence. Opt Quant Electron 55, 284 (2023). https://doi.org/10.1007/s11082-023-04543-z

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