  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.
