Entanglement entropy has emerged as a novel tool for probing nonperturbative quantum chromodynamics (QCD) phenomena, such as color confinement in protons. While recent studies have demonstrated its significant capability in describing hadron production in deep inelastic scatterings, the QCD evolution of entanglement entropy remains unexplored. In this work, we investigate the differential rapidity-dependent entanglement entropy within the proton and its connection to final-state hadrons, aiming to elucidate its QCD evolution. Our analysis reveals a strong agreement between the rapidity dependence of von Neumann entropy, obtained from QCD evolution equations, and the corresponding experimental data on hadron entropy. These findings provide compelling evidence for the emergence of a maximally entangled state, offering new insights into the nonperturbative structure of protons.

中文翻译：

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纠缠熵的 QCD 演化


纠缠熵已成为探测非扰动量子色动力学 （QCD） 现象（例如质子中的颜色限制）的新型工具。虽然最近的研究已经证明了它在描述深非弹性散射中强子产生的重要能力，但纠缠熵的 QCD 演变仍有待探索。在这项工作中，我们研究了质子内基于快速的差分纠缠熵及其与最终状态强子的联系，旨在阐明其 QCD 演变。我们的分析揭示了从 QCD 进化方程获得的冯·诺依曼熵的快速依赖性与相应的强子熵实验数据之间具有很强的一致性。这些发现为最大纠缠态的出现提供了令人信服的证据，为质子的非扰动结构提供了新的见解。