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