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arXiv:2002.04283 · Physical review. D/Physical review. D.

Nonlocal correlation of spin in high energy physics

Chen Qian, Jun‐Li Li, Abdul Sattar Khan, Cong-Feng Qiao

Published Jun 11, 2020• 56 citations
arXivHTMLPDF

Abstract

Nonlocality is a key feature of quantum theory and is reflected in the violation of Bell inequalities for entangled systems. The experimental tests beyond the electromagnetism and massless quanta are of great importance for understanding the nonlocality in different quantum interactions. In this work, we develop a generalized Clauser-Horne inequality pertaining especially to the high energy physics processes, which is quantum mechanical intervene free. We find, in the process of pseudoscalar quarkonium exclusive decay to entangled $\mathrm{\ensuremath{\Lambda}}\overline{\mathrm{\ensuremath{\Lambda}}}$ pairs, the inequality could be violated and is verifiable in high energy experiments like BES III or BELLE II.

DOI
10.1103/physrevd.101.116004

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Nonlocality is a key feature of quantum theory and is reflected in the violation of Bell inequalities for entangled systems. The experimental tests beyond the electromagnetism and massless quanta are of great importance for understanding the nonlocality in different quantum interactions. In this work, we develop a generalized Clauser-Horne inequality pertaining especially to the high energy physics processes, which is quantum mechanical intervene free. We find, in the process of pseudoscalar quarkonium exclusive decay to entangled \ensuremathΛ\ensuremathΛ‾\mathrm{\ensuremath{\Lambda}}\overline{\mathrm{\ensuremath{\Lambda}}}\ensuremathΛ\ensuremathΛ​ pairs, the inequality could be violated and is verifiable in high energy experiments like BES III or BELLE II.
Nonlocality is a peculiar nature of quanta and it stands as an important quantum resource in application. Yet mere linear property of it, viz. the first order in moment, has been explored through various inequalities. Noticing the vast higher-order regime unexplored, in this study we investigate the higher-order quantum correlations in entangled hyperon-antihyperon system, which may be generated massively in charmonium decays. A new type of Clauser-Horne inequality for statistical cumulants and central moments is formulated. We find that a significant violation of the third-order constraint, indicating the existence of higher-order correlation, exists in hyperon-antihyperon system and can be observed in high energy physics experiments, like BESIII and Belle II. Notably, the violation manifests more in higher energy systems of the ΛΛˉΛ\barΛΛΛˉ pair against the kinematic contamination of timelike events.
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Test of local realism via entangled ΛΛˉ\Lambda \bar{\Lambda }ΛΛˉ system
Abstract The non-locality of quantum correlations is a fundamental feature of quantum theory. The Bell inequality serves as a benchmark for distinguishing between predictions made by quantum theory and local hidden variable theory (LHVT). Recent advancements in photon-entanglement experiments have addressed potential loopholes and have observed significant violations of variants of Bell inequality. However, these violations do not completely disprove LHVT. To further rule out LHVT, experiments involving massive-entangled particles are necessary, in addition to those conducted with massless photons, which interact electromagnetically. In this study, we utilize (10.087±0.044)×109 J/ψ events collected with the BESIII detector at the BEPCII collider. We present the non-local correlation test of spin entanglement using a massive ΛΛbar bipartite system, which is formed and decays through strong and weak interactions, respectively. Through measurements of the angular distribution of p pbar in J/ψ→ γηc and subsequent ηc→Λ(pπ-)Λbar(pbar π+) cascade decays, a significant violation of LHVT predictions is observed in a loophole-free test of a variant of the Bell inequality, which is given by the Clauser-Horne inequality. The exclusion of LHVT is determined to be significant at a level of 5.2σ.