Effects of DM and KSEA interactions on entanglement, Fisher and Wigner-Yanase information correlations of two XYZ-Heisenberg-qubit states under a magnetic field

• URL: http://arxiv.org/abs/2410.07075v1
• Date: Wed, 9 Oct 2024 17:19:54 GMT
• Title: Effects of DM and KSEA interactions on entanglement, Fisher and Wigner-Yanase information correlations of two XYZ-Heisenberg-qubit states under a magnetic field
• Authors: S. Gaidi, A. Slaoui, A-B. A. Mohamed, M. EL Falaki, R. Ahl Laamara,
• Abstract summary: We employ entanglement negativity, local quantum uncertainty (LQU), and local quantum Fisher information (LQFI) to characterize thermal entanglement between two XYZ-Heisenberg-qubit states. A comparative examination reveals similar behaviors among these correlation measures. LQFI exhibits greater robustness than negativity and LQU, even displaying a frozen phenomenon at some time under dephasing effects.
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• License: http://creativecommons.org/publicdomain/zero/1.0/
• Abstract: We employ entanglement negativity, local quantum uncertainty (LQU), and local quantum Fisher information (LQFI) to characterize thermal entanglement between two XYZ-Heisenberg-qubit states under the influence of Dzyaloshinsky Moriya (DM) and Kaplan Shekhtman Entin Wohlman Aharony (KSEA) interactions, as well as a magnetic field and thermal equilibrium temperature. A comparative examination reveals similar behaviors among these correlation measures. For the antiferromagnetic scenario, we observe that increasing the DM interaction parameter Dz enhances thermal entanglement. Conversely, in the ferromagnetic case, the behavior of thermal entanglement differs with varying Dz. Additionally, employing Kraus operators, we explore the performance of these quantifiers under decoherence. Notably, LQFI exhibits greater robustness than negativity and LQU, even displaying a frozen phenomenon at some time under dephasing effects.

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