  Utilizing the time-dependent density-matrix renormalization group technique,
we numerically prove photoinduced pairing states in the extended
Falicov-Kimball model (EFKM) at half filling, both with and without internal
SU(2) symmetry. In the time-dependent photoemission spectra an extra band
appears above the Fermi energy after pulse irradiation, indicating an
insulator-to-metal transition. Even in the absence of the SU(2) structure, the
pair correlations are enhanced during the pump, and afterwards decrease over
time. This implies the possible metallization of Ta$_2$NiSe$_5$, a strong
candidate for an excitonic insulator material, for which the EFKM is considered
to be the minimal theoretical model. Simulating the photoemission with
optimized pulse parameters, we demonstrate a photoinduced quantum phase
transition, in accord with recent findings in time- and angle-resolved
photoemission spectroscopy experiments on Ta$_2$NiSe$_5$.
