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An ultracold gas of interacting fermionic atoms in a three-dimensionaloptical lattice is considered, where the lattice potential strength isperiodically modulated. This non-equilibrium system is non-perturbativelydescribed by means of a Keldysh-Floquet-Green's function approach forMott-Hubbard systems employing a generalized dynamical mean field theory(DMFT). Strong repulsive interactions between different atoms lead to a Mottinsulator state for the equilibrium system, but the additional external drivingat zero temperature yields a non-equilibrium quantum critical behavior, wherean infinite number of Floquet states arise and a transition to the liquid andconducting phase is given.

Quantum Criticality and Population Trapping of Fermions by Non-Equilibrium Lattice Modulations