Non-Abelian symmetry can increase entanglement entropy

The pillars of quantum theory include entanglement and operators' failure to commute. Page curve quantifies the bipartite a many-body system in random pure state. This is known decrease if one constrains extensive observables that commute with each other (Abelian ``charges''). Non-Abelian charges, which fail other, are current interest thermodynamics. For example, noncommuting charges were shown reduce entropy-production rates may enhance finite-size deviations from eigenstate thermalization. Bridging thermodynamics physics, we quantify effects charges' noncommutation---of symmetry's non-Abelian nature---on curves. First, construct two models closely analogous but differ whether their We show analytically numerically noncommuting-charge case has more entanglement. Hence noncommutation can promote