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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Graph-energy centrality applied to Fock-space graphs captures weak ergodicity-breaking transitions in quantum many-body systems and scales to hundreds of sites or the thermodynamic limit.
A simplified version of quantum dynamical entropy is introduced, its growth rate is computed from correlation functions in the thermodynamic limit, and a Planckian bound on the rate is conjectured.
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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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Graph-theory measures capture weak ergodicity breaking on large quantum systems
Graph-energy centrality applied to Fock-space graphs captures weak ergodicity-breaking transitions in quantum many-body systems and scales to hundreds of sites or the thermodynamic limit.
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Planckian bound on quantum dynamical entropy
A simplified version of quantum dynamical entropy is introduced, its growth rate is computed from correlation functions in the thermodynamic limit, and a Planckian bound on the rate is conjectured.