Quantum correlations in Heisenberg chain model: Effects of dipolar interaction, symmetric and anti-symmetric interactions.

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Title: Quantum correlations in Heisenberg chain model: Effects of dipolar interaction, symmetric and anti-symmetric interactions.
Authors: Reda, Esraa1 (AUTHOR) Esraa.Reda@women.asu.edu.eg, Abd-Rabbou, M. Y.2,3 (AUTHOR) m.elmalky@azhar.edu.eg, Ali, S. I.3 (AUTHOR), Obada, A.-S. F.3 (AUTHOR)
Source: Modern Physics Letters A. 12/21/2024, Vol. 39 Issue 39, p1-21. 21p.
Subjects: Quantum correlations, Quantum entanglement, Heisenberg model
Abstract: Quantum correlations between a pair of spin-1/2 represented by an XYZ-Heisenberg chain are investigated under symmetric, anti-symmetric and long-range dipolar interactions. Entanglement, steering, and nonlocality are quantified through concurrence, 3-steering functions, and normalized Bell functions, respectively. By modulating interaction directions, effects on quantum correlations are elucidated for two scenarios: dipolar coupling along x or z, with symmetric and anti-symmetric terms oriented perpendicular or parallel. The results indicate that quantum correlations are enhanced when dipolar coupling aligns with the z-direction versus the x-direction. Moreover, increasing long-range dipolar interaction strength degrades the quantum correlations for weaker Heisenberg chain coupling. Positioning symmetric and anti-symmetric couplings along the z-direction affect quantum correlation dissipation at a critical point. Furthermore, with symmetric and anti-symmetric terms oriented along x, quantum correlations diminish for x-direction dipolar coupling. [ABSTRACT FROM AUTHOR]
Copyright of Modern Physics Letters A is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: <searchLink fieldCode="JN" term="%22Modern+Physics+Letters+A%22">Modern Physics Letters A</searchLink>. 12/21/2024, Vol. 39 Issue 39, p1-21. 21p.
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  Data: Quantum correlations between a pair of spin-1/2 represented by an XYZ-Heisenberg chain are investigated under symmetric, anti-symmetric and long-range dipolar interactions. Entanglement, steering, and nonlocality are quantified through concurrence, 3-steering functions, and normalized Bell functions, respectively. By modulating interaction directions, effects on quantum correlations are elucidated for two scenarios: dipolar coupling along x or z, with symmetric and anti-symmetric terms oriented perpendicular or parallel. The results indicate that quantum correlations are enhanced when dipolar coupling aligns with the z-direction versus the x-direction. Moreover, increasing long-range dipolar interaction strength degrades the quantum correlations for weaker Heisenberg chain coupling. Positioning symmetric and anti-symmetric couplings along the z-direction affect quantum correlation dissipation at a critical point. Furthermore, with symmetric and anti-symmetric terms oriented along x, quantum correlations diminish for x-direction dipolar coupling. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Modern Physics Letters A is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1142/S0217732324501864
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        Text: English
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        Type: general
      – SubjectFull: Quantum entanglement
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      – SubjectFull: Heisenberg model
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              Text: 12/21/2024
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              Y: 2024
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