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

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.

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Publication Details

Journal
Modern Physics Letters A
Published
2024-12-21
DOI
https://doi.org/10.1142/s0217732324501864
Citations
4
Primary Topic
Quantum Information and Cryptography
Type
article
Field-Weighted Citation Impact
1.39
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article

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

Mahmoud Youssef Abd‐Rabbou, A.‐S. F. Obada, Esraa Reda, S. I. Ali
4 citations
Modern Physics Letters A
Quantum Information and Cryptography
1.39
article

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

Mahmoud Youssef Abd‐Rabbou, A.‐S. F. Obada, Esraa Reda, S. I. Ali
article en
4 citations

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.

Modern Physics Letters AVol. 39(39)
Ain Shams University (EG), Al-Azhar University (EG), University of Chinese Academy of Sciences (CN)
Openalex Percentile: Top 15%
Quantum Information and Cryptography
1.39
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Quantum correlations in Heisenberg chain model: Effects of dipolar interaction, symmetric and anti-symmetric interactions — Mahmoud Youssef Abd‐Rabbou, A.‐S. F. Obada, et al. · Modern Physics Letters A (2024) | TGRS Research Map | TGRS