LOE for Haar random dynamics asymptotically matches the Page curve for traceless operators and is independent of the initial operator at leading order.
Pathak,Full eigenstate thermalization in integrable spin systems, arXiv:2510.05887 [cond-mat.stat-mech] (2025)
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In a chaotic quantum system, higher-order correlations reach thermal equilibrium faster than state design moments, both relaxing exponentially.
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Page Curve for Local-Operator Entanglement from Free Probability
LOE for Haar random dynamics asymptotically matches the Page curve for traceless operators and is independent of the initial operator at leading order.
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Timescales for Deep and Full Thermalization
In a chaotic quantum system, higher-order correlations reach thermal equilibrium faster than state design moments, both relaxing exponentially.