  We investigate the time-dependent reformation of the quasiparticle peak in a
correlated metal near the Mott transition, after the system is quenched into a
hot electron state and equilibrates with an environment which is colder than
the Fermi-liquid crossover temperature. Close to the transition, we identify a
purely electronic bottleneck timescale, which depends on the spectral weight
around the Fermi energy in the bad metallic phase in a non-linear way. This
timescale can be orders of magnitude larger than the bare electronic hopping
time, so that a separation electronic and lattice timescales may break down.
The results are obtained using nonequilibrium dynamical mean-field theory and a
slave-rotor representation of the Anderson impurity model.
