发表机构
Ibnou Zohr University; Mohammed V University in Rabat（伊本·佐赫尔大学; 拉巴特穆罕默德五世大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究$e^{+}e^{-}\to\tau^{+}\tau^{-}$中自旋量子资源，揭示其运动学起源，并分析关联退相通道中记忆效应对资源存活的影响。
AI 中文摘要
我们刻画了在$e^{+}e^{-}$湮灭中产生的$\tau^{+}\tau^{-}$对自旋所携带的若干量子资源。在Belle-II能量$\sqrt{s}=10.579\\,\mathrm{GeV}$下，贝尔非定域性、导引性、形成纠缠度和相干性由产生角决定，并在横向发射$\vartheta=\pi/2$时达到最大。通过将自旋态表示为可分离贡献与最大纠缠分量的依赖于速度和角的混合，揭示了它们共同的运动学起源。在物理产生域内，该表示将$\sqrt{s}=2m_{\tau}$处的弱关联阈值态与在超相对论能量下趋近的贝尔态极限联系起来。随后，我们将双自旋态通过一个唯象的关联退相通道传播，以确定环境记忆和通道间经典关联如何影响可用资源。记忆效应产生崩塌与复兴，而这些在单调的马尔可夫演化中是不存在的。因此，该分析将产生自旋关联的运动学机制与控制其后续存活的噪声特性分离开来。
英文摘要
We characterize several quantum resources carried by the spins of the $τ^{+}τ^{-}$ pair produced in $e^{+}e^{-}$ annihilation. At the Belle-II energy, $\sqrt{s}=10.579\,\mathrm{GeV}$, Bell nonlocality, steerability, entanglement of formation, and coherence are governed by the production angle and are largest for transverse emission, $\vartheta=π/2$. Their common kinematic origin is exposed by expressing the spin state as a velocity and angle-dependent mixture of a separable contribution and a maximally entangled component. Within the physical production domain, this representation connects the weakly correlated threshold state at $\sqrt{s}=2m_τ$ to the Bell-state limit approached at ultrarelativistic energies. We then propagate the two-spin state through a phenomenological correlated-dephasing channel to determine how environmental memory and inter-channel classical correlations affect the available resources. Memory effects generate collapses and revivals that are absent from the monotonic Markovian evolution. The analysis therefore separates the kinematic mechanism that creates the spin correlations from the noise properties that control their subsequent survival.
Comments20 pages
