Non-equilibrium Dynamics of Strongly Interacting Bosonic and Fermionic Quantum Gases
Ultracold quantum gases offer novel and intriguing possibilities to probe the dynamical evolution of strongly correlated quantum systems far from equilibrium. We report on recent experiments, in which we have analyzed the transport behaviour of fermionic quantum gases in an optical lattices. We find three distinct transport regimes for non-interacting, weakly- and strongly-interacting quantum gas mixtures for both attractive and repulsive interactions. In a second series of experiments we probe the quantum dynamics of 1D ladder systems far from equilibrium. Here we investigate generalized Landau-Zener transitions between two Luttinger liquids, for which we find striking effects of ground state phase transitions that manifest in the dynamical evolution of the system. Finally, we report on our recent experimental progress towards single atom and single site addressing in a 3D optical lattice using a high numerical aperture optical microscope.