Late-time ensembles in chaotic systems with symmetries match Haar-random statistics for typical product states but follow constrained ensembles for atypical low-variance initial states.
Typical entangle- ment entropy in the presence of a center: Page curve and its variance
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Late-time ensembles of quantum states in quantum chaotic systems
Late-time ensembles in chaotic systems with symmetries match Haar-random statistics for typical product states but follow constrained ensembles for atypical low-variance initial states.