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<p>The behavior of quantum correlation, assessed through metrics such as trace distance quantum discord, local quantum uncertainty, measurement-induced nonlocality, and the geometric measure of discord, is examined in detail for the Heisenberg spin-XX model. This analysis considers the influence of an external magnetic field and the presence of Dzyaloshinskii-Moriya interaction. The Lindblad master equation was employed to solve the system. The results indicate that all measurements exhibit symmetry around <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(J=0\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>J</mi> <mo>=</mo> <mn>0</mn> </mrow> </math></EquationSource> </InlineEquation>, primarily influenced by |<i>J</i>| rather than its sign, demonstrating similar responses. However, they vary at different times and magnetic fields. The findings indicate that increasing the Dzyaloshinskii-Moriya (DM) interaction parameter enhances various performance metrics, including all measurements. The dissipation parameter greatly influences the lifetime of quantum correlations in the Heisenberg XX spin system.</p>

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Characterizing some Measurements of the Heisenberg spin-XX Model with an External Magnetic Field

  • 期刊论文

  • 发表日期：

    2026年7月28日

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  • Nour Zidan,
  • Razan Aldahash,
  • Hamada Abdel-Hameed

摘要

The behavior of quantum correlation, assessed through metrics such as trace distance quantum discord, local quantum uncertainty, measurement-induced nonlocality, and the geometric measure of discord, is examined in detail for the Heisenberg spin-XX model. This analysis considers the influence of an external magnetic field and the presence of Dzyaloshinskii-Moriya interaction. The Lindblad master equation was employed to solve the system. The results indicate that all measurements exhibit symmetry around \(J=0\) J = 0 , primarily influenced by |J| rather than its sign, demonstrating similar responses. However, they vary at different times and magnetic fields. The findings indicate that increasing the Dzyaloshinskii-Moriya (DM) interaction parameter enhances various performance metrics, including all measurements. The dissipation parameter greatly influences the lifetime of quantum correlations in the Heisenberg XX spin system.