  We generalize the scope of Floquet engineering to include spatially-dependent
modulations of an optical system. As an application, we show that we can
transform large classes of Hamiltonians into one another by driving them in a
time-periodic but spatially non-uniform manner. We propose several experimental
realizations in 1D optical lattices, including freeing disordered lattices from
Anderson localization, as well as effectively disconnecting all their sites.
These techniques straightforwardly extend to more complex classes of systems.
