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We study out-of-time-order correlation (OTOC) for one-dimensionalperiodically driven hardcore bosons in the presence of Aubry-Andr\'e (AA)potential and show that both the spectral properties and the saturation valuesof OTOC in the steady state of these driven systems provide a clear distinctionbetween the localized and delocalized phases of these models. Our results,obtained via exact numerical diagonalization of these boson chains, thusindicate that OTOC can provide a signature of drive induced delocalization evenfor systems which do not have a well defined semiclassical (and/or large N)limit. We demonstrate the presence of such signature by analyzing two differentdrive protocols for hardcore bosons chains leading to distinct physicalphenomena and discuss experiments which can test our theory.

Signature of Chaos and Delocalization in a Periodically Driven Many Body System : An Out-of-Time-Order Correlation Study