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Dynamics of two-qubit Heisenberg XY state: external magnetic field and intrinsic decoherence effects

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Abstract

This paper investigates the capability of the anisotropic Heisenberg XY model to generate different anisotropic-two-qubit-Heisenberg nonclassical information resources (as Bell nonlocality, steerability, uncertainty-induced nonlocality as well as the concurrence) under x-projection external magnetic field, spin–spin couplings, anisotropy, and intrinsic decoherence. Based on Milburn’s intrinsic decoherence model, a particular dynamics for the anisotropic two-qubit Heisenberg XY model has been found to explore the nonclassical information dynamics. The results show that the anisotropic two-qubit Heisenberg couplings have a high ability to generate different nonclassical correlations. The amplitudes, fluctuations, and regularity of the nonclassical correlation dynamics can be controlled by the increase of the external magnetic field, the spin–spin interaction, the anisotropy, and the decoherence. Increasing the anisotropic two-qubit Heisenberg couplings enhances the generation, acceleration, and preservation of the generated two-qubit nonclassical information resources. For the intrinsic decoherence, the generated information resources decrease. The concurrence, steering, and UIN grow and stabilize to their partial stationary correlations, which depend on the applied external magnetic field, the spin couplings, the anisotropy, as well as the decoherence.

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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 and 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

  2. Department of Mathematics, College of Science and Humanities, Prince Sattam bin Abdulaziz University, Al-Kharj, Saudi Arabia

    F. Aljuaydi

  3. Department of Mathematics, College of Science, Jouf University, P.O. Box 2014, Sakaka, Saudi Arabia

    N. Zidan

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Contributions

A-BAM, FA, and FMA prepared all the figures and performed the mathematical calculations. A-BAM, NZ wrote the original draft. A-BAM. NZ, and FMA reviewed and edited the draft. All authors have read and agreed to the published version of the manuscript.

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Correspondence to A.-B. A. Mohamed.

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Mohamed, AB.A., Aljuaydi, F., Aldosari, F.M. et al. Dynamics of two-qubit Heisenberg XY state: external magnetic field and intrinsic decoherence effects. Opt Quant Electron 55, 1039 (2023). https://doi.org/10.1007/s11082-023-05287-6

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