  Non-equilibrium phenomena in many-body quantum systems involves the interplay
of correlations and dynamics spanning different spatio-temporal scales. We
present an experimental study of these dynamics in a two-component Fermi gas
following a quench from weak to strong interactions. Starting with a weakly
attractive gas in the normal phase, interactions are ramped to the unitarity
limit at a range of rates, which involves crossing the normal to superfluid
phase transition. We measure the subsequent dynamics of the pair momentum
distribution which reveals the timescales for both the formation and
condensation of pairs. Furthermore, we show that the contact parameter responds
very rapidly to changes in the interaction strength, demonstrating that
short-range correlations, based on the occupation of high-momentum modes,
evolve far more rapidly than correlations in low-momentum modes necessary for
pair condensation.
