Driving-induced metamorphosis of transport in arrays of coupled resonators

We propose a new driving scheme, when different parts of a system are driven with different, generally incommensurate, frequencies. Such driving provides a flexible handle to control various properties of the system and to obtain new types of effective (static) Hamiltonians with arbitrary static on-site potential, be it deterministic or random. This allows us to obtain reconfigurable changes in transport, from ballistic to localized (including sub- and super-diffusion), depending on the driving protocol. The versatile reconfigurability extends also to scattering from (locally) driven extended targets. We demonstrate our scheme using, an analytically solvable example, of an one-dimensional tight-binding chain with appropriately driven couplings between nearby sites.