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Thermal entanglement versus quantum-memory-assisted entropic uncertainty relation in a two-qubit Heisenberg system with Herring–Flicker coupling under Dzyaloshinsky–Moriya interaction

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Abstract

In our investigation, we delve into the dynamics of thermal entanglement and quantum-memory-assisted entropic uncertainty relation (QMA-EUR) within an XXZ Heisenberg spin-1/2 chain consisting of two qubits. This system is affected by the Herring–Flicker (HF) coupling and exposed to the Dzyaloshinsky–Moriya (DM) interaction, in the presence of an external homogeneous magnetic field. We assume that the system is in thermal equilibrium with a reservoir and examine how various parameters, including the HF coupling distance R, equilibrium temperature, and other system characteristics, affect the logarithmic negativity used to quantify thermal entanglement and QMA-EUR. Our findings reveal intriguing distinctions in the behaviors of QMA-EUR and thermal entanglement. Notably, an increase in temperature is found to effectively reduce thermal entanglement while simultaneously enhancing QMA-EUR. Furthermore, we notice that bipartite entanglement and QMA-EUR exhibit distinct behaviors as we vary the coupling distance, R. Specifically, the logarithmic negativity attains its highest value at a coupling distance of \(R = 1.25\), which coincides with the lowest QMA-EUR value. Furthermore, we discover that the presence of high-intensity magnetic fields has a detrimental influence on the level of thermal entanglement. However through adjustments in the inter-spins relative distance R, the strength of the DM interaction, temperature T, the anisotropy parameter, and the static magnetic field B, it is possible to suppress the QMA-EUR and enhance bipartite entanglement within the system. These findings suggest encouraging possibilities for advancing quantum technologies that make use of this quantum system.

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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, Casablanca, Morocco

    Zakaria Bouafia, Mansoura Oumennana & Mostafa Mansour

  2. LPMR, Department of Physics, Faculty of Sciences of Oujda, Mohammed Premier University, Oujda, Morocco

    Fatiha Ouchni

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  1. Zakaria Bouafia
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  2. Mansoura Oumennana
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  3. Mostafa Mansour
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The concept for the manuscript was proposed by MM. Computation and graphical tasks were carried out by ZB and MO. All authors participated in the analysis and interpretation of the results. MM provided supervision for this research

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Correspondence to Mostafa Mansour.

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Bouafia, Z., Oumennana, M., Mansour, M. et al. Thermal entanglement versus quantum-memory-assisted entropic uncertainty relation in a two-qubit Heisenberg system with Herring–Flicker coupling under Dzyaloshinsky–Moriya interaction. Appl. Phys. B 130, 94 (2024). https://doi.org/10.1007/s00340-024-08228-7

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