Dynamics of strongly correlated degrees of freedom in model systems
Different non-perturbative numerical methods, based on Krylov-space techniques, self-energy-functional theory and density-matrix renormalization, will be developed and used to study prototypical models of strongly correlated fermions and spins far from equilibrium. Two visionary long-term goals characterize the physical project idea: (i) A comprehensive concept and quantitative theory of 'dynamical phase transitions' shall be worked out and applied to study time-dependent Mott metal-insulator and magnetic transitions. (ii) A time-dependent theory of X-ray spectroscopies shall be developed to understand in detail how correlations affect the measured intensities in corresponding pump-probe experiments, in particular close to a dynamical phase transition.