  We show that the recently proposed cooling-by-doping mechanism allows to
efficiently prepare interesting nonequilibrium states of the Hubbard model.
Using nonequilibrium dynamical mean field theory and a particle-hole symmetric
setup with dipolar excitations to full and empty bands we produce cold
photo-doped Mott insulating states with a sharp Drude peak in the optical
conductivity, a superconducting state in the repulsive Hubbard model with an
inverted population, and $\eta$-paired states in systems with a large density
of doublons and holons. The reshuffling of entropy into full and empty bands
not only provides an efficient cooling mechanism, it also allows to overcome
thermalization bottlenecks and slow dynamics that have been observed in systems
cooled by the coupling to boson baths.
