Hierarchical relationship of nonlocal correlations in Schwarzschild-de Sitter spacetime

Abstract We investigate the hierarchy of nonlocal correlations for Dirac fields in the Schwarzschild de Sitter (SdS) spacetime. We find that the hierarchical relationship between the nonlocal advantage of quantum coherence (NAQC) and Bell nonlocality remains in the multi-event horizon curved spaceti...

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Main Authors: Huimin Yao, Li Zhang, Cuihong Wen, Jieci Wang
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-025-13765-2
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author Huimin Yao
Li Zhang
Cuihong Wen
Jieci Wang
author_facet Huimin Yao
Li Zhang
Cuihong Wen
Jieci Wang
author_sort Huimin Yao
collection DOAJ
description Abstract We investigate the hierarchy of nonlocal correlations for Dirac fields in the Schwarzschild de Sitter (SdS) spacetime. We find that the hierarchical relationship between the nonlocal advantage of quantum coherence (NAQC) and Bell nonlocality remains in the multi-event horizon curved spacetime. It is demonstrated that the NAQC and Bell nonlocality provide a more rigorous characterization of physically inaccessible quantum properties than coherence, as classical information cannot be transmitted across the thermally opaque membrane. Furthermore, when considering an effective equilibrium temperature, an enhancement in quantum nonlocality with increasing temperature is observed, which challenges the conventional understanding that the Hawking effect solely diminishes quantum nonlocality. This study contributes to integrating quantum resource theory within the context of multi-event horizon black holes.
format Article
id doaj-art-5db5688a31054cb0829bbe68a2004056
institution Kabale University
issn 1434-6052
language English
publishDate 2025-01-01
publisher SpringerOpen
record_format Article
series European Physical Journal C: Particles and Fields
spelling doaj-art-5db5688a31054cb0829bbe68a20040562025-01-26T12:49:25ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-01-018511710.1140/epjc/s10052-025-13765-2Hierarchical relationship of nonlocal correlations in Schwarzschild-de Sitter spacetimeHuimin Yao0Li Zhang1Cuihong Wen2Jieci Wang3Department of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal UniversityDepartment of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal UniversityCollege of Information Science and Engineering, Hunan Normal UniversityDepartment of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal UniversityAbstract We investigate the hierarchy of nonlocal correlations for Dirac fields in the Schwarzschild de Sitter (SdS) spacetime. We find that the hierarchical relationship between the nonlocal advantage of quantum coherence (NAQC) and Bell nonlocality remains in the multi-event horizon curved spacetime. It is demonstrated that the NAQC and Bell nonlocality provide a more rigorous characterization of physically inaccessible quantum properties than coherence, as classical information cannot be transmitted across the thermally opaque membrane. Furthermore, when considering an effective equilibrium temperature, an enhancement in quantum nonlocality with increasing temperature is observed, which challenges the conventional understanding that the Hawking effect solely diminishes quantum nonlocality. This study contributes to integrating quantum resource theory within the context of multi-event horizon black holes.https://doi.org/10.1140/epjc/s10052-025-13765-2
spellingShingle Huimin Yao
Li Zhang
Cuihong Wen
Jieci Wang
Hierarchical relationship of nonlocal correlations in Schwarzschild-de Sitter spacetime
European Physical Journal C: Particles and Fields
title Hierarchical relationship of nonlocal correlations in Schwarzschild-de Sitter spacetime
title_full Hierarchical relationship of nonlocal correlations in Schwarzschild-de Sitter spacetime
title_fullStr Hierarchical relationship of nonlocal correlations in Schwarzschild-de Sitter spacetime
title_full_unstemmed Hierarchical relationship of nonlocal correlations in Schwarzschild-de Sitter spacetime
title_short Hierarchical relationship of nonlocal correlations in Schwarzschild-de Sitter spacetime
title_sort hierarchical relationship of nonlocal correlations in schwarzschild de sitter spacetime
url https://doi.org/10.1140/epjc/s10052-025-13765-2
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AT lizhang hierarchicalrelationshipofnonlocalcorrelationsinschwarzschilddesitterspacetime
AT cuihongwen hierarchicalrelationshipofnonlocalcorrelationsinschwarzschilddesitterspacetime
AT jieciwang hierarchicalrelationshipofnonlocalcorrelationsinschwarzschilddesitterspacetime