  Nonequilibrium dynamics in correlated materials has attracted attention due
to the possibility of characterizing, tuning, and creating complex ordered
states. To understand the photoinduced microscopic dynamics, especially the
linkage under realistic pump conditions between transient states and remnant
elementary excitations, we performed nonperturbative simulations of various
time-resolved spectroscopies. We used the Mott antiferromagnetic insulator as a
model platform. The transient dynamics of multi-particle excitations can be
attributed to the interplay between Floquet virtual states and a modification
of the density of states, in which interactions induce a spectral weight
transfer. Using an autocorrelation of the time-dependent spectral function, we
show that resonance of the virtual states with the upper Hubbard band in the
Mott insulator provides the route towards manipulating the electronic
distribution and modifying charge and spin excitations. Our results link
transient dynamics to the nature of many-body excitations and provide an
opportunity to design nonequilibrium states of matter via tuned laser pulses.
