Effects of DM and KSEA interactions on entanglement, Fisher and Wigner-Yanase information correlations of two XYZ-Heisenberg-qubit states under a magnetic field
S. Gaidi, A. Slaoui, A-B. A. Mohamed, M. EL Falaki, and R. Ahl Laamara

TL;DR
This study investigates how Dzyaloshinsky Moriya and KSEA interactions influence quantum correlations like entanglement and Fisher information in two-qubit XYZ-Heisenberg systems under magnetic fields and temperature, revealing robustness of Fisher information under decoherence.
Contribution
It introduces a comparative analysis of entanglement, LQU, and LQFI in XYZ-Heisenberg qubits affected by DM and KSEA interactions, highlighting the robustness of LQFI under decoherence.
Findings
Increasing DM interaction enhances entanglement in antiferromagnetic cases.
LQFI is more robust than negativity and LQU under decoherence.
LQFI exhibits a frozen phenomenon at some times under dephasing.
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…
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