My research uses a combination of analytical and computational approaches to examine the nonequilibrium dynamics of many-particle quantum systems. Systems of interest include, on the one hand, quantum systems that are promising implementations of quantum bits (qubits), the fundamental building blocks of quantum information processing (QIP) platforms, and, on the other hand, strongly correlated systems away from equilibrium. For the former, we are interested in questions at the interface of quantum optics and QIP and how key processes at this critical interface can be optimized to enable the construction of scalable QIP platforms. For the latter, we aim to study the nonequilibrium dynamics of correlated systems when they are driven by applied electric fields or subjected to other time-dependent variations of system parameters. Here, we aim both to understand fundamental properties that emerge when these systems are driven out of equilibrium, and, to calibrate experiments that either induce and examine nonequilibrium excitations in these systems or, to study in situ replicas of model Hamiltonians for strongly correlated systems in optical lattices.