Detecting superconductivity out-of-equilibrium

Pump-probe experiments on cuprates and similar systems suggest the existence of a transient superconducting state far above the critical temperature. This poses the question how to reliably identify the emergence of superconductivity, out-of-equilibrium. In our contribution we investigate this point by studying the non-equilibrium dynamics in an extended Hubbard model and by computing various observables, which are used in theory and experiment to identify superconductivity. We specifically show, that the time-dependent optical conductivity is not sufficient to distinguish between a dynamical induced superconductor or an enhanced metallic state. In turn, we suggest to utilize time-resolved ARPES experiments in the two-particle channel to probe for superconducting signatures.