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.
Exactly solvable dynamics and signatures of integrability in an infinite-range many-body floquet spin system
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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.