Nonequilibrium physics of quantum quasiperiodic systems

I will describe nonequilibrium physics of quantum quasiperiodic systems like the Aubry–Andre–Harper model. When a non-interacting critical system is driven out of equilibrium the steady state displays fractal spatial dependence of observables. Even more interesting is the behavior in the presence of interactions: infinitesimal interactions at half-filling cause a discontinuous (non-KAM) breakdown of localization to diffusion, as opposed to a smooth behavior for random potential.