We are a group with broad research interests that is particularly fascinated by quantum mechanics. Among the multitude of effects that can be considered “quantum”, phenomena in systems subjected to ultrashort and/or strong external driving have only been studied in the last decades, as both methodologically and experimentally the study of these quantum systems requires new developments. This is the starting point for our research. We are interested in developing new theoretical tools to simulate the dynamics of strongly driven or non-equilibrium many-body quantum systems and to perform numerical calculations on supercomputers to make predictions about them. We apply new and existing methods to experimentally realizable systems. These include, e.g., quenched ultracold atoms, strongly laser-driven multi-electron atoms, and light-induced non-equilibrium dynamics in solids. The long-term vision of our research is to contribute to new quantum technologies that utilize non-equilibrium quantum matter. To this end, we occasionally address even more fundamental questions of quantum mechanics and quantum chaos.