An arithmetic framework based on cyclotomic analysis of Floquet spectra enumerates exact recurrence times across integrable and non-integrable models and proves that rational Hamiltonian parameters do not guarantee recurrence.
Saturation and recurrence of quantum complexity in random local quantum dynamics
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Quantum recurrences and the arithmetic of Floquet dynamics
An arithmetic framework based on cyclotomic analysis of Floquet spectra enumerates exact recurrence times across integrable and non-integrable models and proves that rational Hamiltonian parameters do not guarantee recurrence.