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量子电动力学中树级Bhabha散射的量子资源动态再分配

Dynamical redistribution of quantum resources in tree-level Bhabha scattering

Zan Cao, Meng-Long Song, Xue-Ke Song, Liu Ye, Dong Wang

arXiv 2607.20264首次发表:更新:

AI 中文总结

研究量子电动力学中树级Bhabha散射的量子资源动态再分配,通过量子资源理论揭示其规律,包括熵不确定性与纠缠的反相关、对称性变化等,还建立了局部与全局的等价性,评估了相关权衡,为理解QED过程量子性质提供深入见解。

AI 中文摘要

由量子电动力学(QED)支配的基本相互作用本质上富含量子资源,但这些资源在相对论散射过程中如何动态再分配仍未完全理解。在这项工作中,我们在量子资源理论框架内系统研究了树级Bhabha散射过程(e^- e^+ → e^- e^+),揭示了QED运动学和费曼振幅如何严格决定资源再分配。具体而言,我们证明了熵不确定性与不同初始状态下动态产生的纠缠之间存在严格的反相关。我们发现质量诱导的单螺旋度翻转跃迁在非相对论区域导致明显的几何对称性破缺,而在超相对论极限下的手征对称性恢复确保了关于后向散射角的严格对称性。此外,我们解析地建立了局部波粒二象性与全局二分量子相干之间的严格等价性。最后,通过评估局部二象性与贝尔非局域性之间的权衡,我们表明在超相对论极限下,基本因式分解态的横向散射使s通道和t通道振幅相等,以优化非局部相关性。然而,预先存在的局部相干不可避免地破坏了这种微妙的运动学平衡,显著抑制了贝尔参数并阻止了对局部实在性的最大违反。因此,我们相信目前的结果为QED过程的基本量子性质提供了更深入的理解。

英文摘要

The fundamental interactions governed by quantum electrodynamics (QED) are intrinsically rich in quantum resources, yet how these resources dynamically redistribute during relativistic scattering is still not fully understood. In this work, we systematically investigate the tree-level Bhabha scattering process (e^- e^+ \rightarrow e^- e^+) within the framework of quantum resource theory, revealing how QED kinematics and Feynman amplitudes strictly dictate resource redistribution. Specifically, we demonstrate a strict anti-correlation between entropic uncertainty and dynamically generated entanglement across diverse initial states. We find that mass-induced single-helicity-flip transitions cause a pronounced geometric symmetry breaking in the non-relativistic regime, whereas the restoration of chiral symmetry in the ultra-relativistic limit ensures strict symmetry about the backward scattering angle. Furthermore, we analytically establish a rigorous equivalence between local wave-particle duality and global bipartite quantum coherence. Finally, evaluating the trade-off between local duality and Bell nonlocality, we show that in the ultra-relativistic limit, transverse scattering of basic factorized states equalizes the s- and t-channel amplitudes to optimize non-local correlations. However, pre-existing local coherence inevitably disrupts this delicate kinematic balance, significantly suppressing the Bell parameter and preventing the maximal violation of local realism. Therefore, we believe the present results provide deeper understanding of the fundamental quantum nature of QED processes.

Comments8 pages, 5 figures, Accepted by Physics Letters B. Comments on my paper are welcome

Journal refPhysics Letters B 880, 140785 (2026)

DOI:10.1016/j.physletb.2026.140785

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