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We show that a quantum many-body system may be controlled by means ofFloquet engineering, i.e., their properties may be controlled andmanipulated by employing periodic driving. We present a concrete drivingscheme that allows control over the nature of mobile units and theamount of diffusion in generic many-body systems. We demonstrate theseideas for the Fermi-Hubbard model, where the drive renders doublyoccupied sites (doublons) the mobile excitations in the system. Inparticular, we show that the amount of diffusion in the system and thelevel of fermion-pairing may be controlled and understood solely interms of the doublon dynamics. We find that under certain circumstancesthe diffusion in 1 1 Dsystems may be eliminated completely for extremely long times. Weconclude our work by generalizing these ideas to generic many-bodysystems.more » « less
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