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]
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Database: Engineering Source
Description
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]
ISSN:02177323
DOI:10.1142/S0217732324501864