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We periodically kick a local region in a one-dimensional lattice anddemonstrate, by studying wave packet dynamics, that the strength and the timeperiod of the kicking can be used as tuning parameters to control thetransmission probability across the region. Interestingly, we can tune thetransmission to zero which is otherwise impossible to do in a time-independentsystem. We adapt the non-equilibrium Green's function method to take intoaccount the effects of periodic driving; the results obtained by this methodagree with those found by wave packet dynamics if the time period is small. Wediscover that Floquet bound states can exist in certain ranges of parameters;when the driving frequency is decreased, these states get delocalized and turninto resonances by mixing with the Floquet bulk states. We extend these resultsto incorporate the effects of local interactions at the driven site, and wefind some interesting features in the transmission and the bound states.

Effects of local periodic driving on transport and generation of bound states