  We study interaction quenches of the Fermi-Hubbard model initiated from
various high-temperature and high-energy states, motivated by cold atom
experiments, which currently operate above the ordering temperature(s). We
analytically calculate the dynamics for quenches from these initial states,
which are often strongly-interacting, to the non-interacting limit. Even for
high-temperature uncorrelated initial states, transient connected correlations
develop. These correlations share many features for all considered initial
states. We observe light-cone spreading of intertwined spin and density
correlations. The character of these correlations is quite different from their
low-temperature equilibrium counterparts: for example, the spin correlations
can be ferromagnetic. We also show that an initially localized hole defect
affects spin correlations near the hole, suppressing their magnitude and
changing their sign.
