  We consider a quasiperiodic Aubry-Andre (AA) model and add a weak
time-periodic and spatially quasiperiodic perturbation. The undriven AA model
is chosen to be well in the insulating regime. The spatial quasiperiodic
perturbation extends the model into two dimensions in reciprocal space. For a
spatial resonance which reduces the reciprocal space dynamics to an effective
one-dimensional two-leg ladder case, the ac perturbation resonantly couples
certain groups of localized eigenstates of the undriven AA model and turns them
into extended metallic ones. Slight detuning of the spatial and temporal
frequencies off resonance returns these states into localized ones. We analyze
the details of the resonant metallic eigenstates using Floquet representations.
In particular, we find that their size grows linearly with the system size.
Initial wave packets overlap with resonant metallic eigenstates and lead to
ballistic spreading.
