  We investigate ultra-fast coherent quantum dynamics of undoped
$\text{BaBiO}_{3}$ driven by a strong laser pulse. Our calculations demonstrate
that in a wide range of radiation frequencies and intensities the system
undergoes a transient change from the insulating to the metallic state, where
the charge density wave and the corresponding energy spectrum gap vanish. The
transition takes place on the ultra-fast time scale of tens femtoseconds,
comparable to the period of the corresponding lattice vibrations. The dynamics
are determined by a complex interplay of the particle-hole excitation over the
gap and of the tunnelling through it, giving rise to the highly non-trivial
time evolution which comprises high harmonics and reveals periodic reappearance
of the gap. The time evolution is obtained by solving the dynamical mean-field
theory equations with the realistic parameters for the system and radiation.
Results are summarized in the phase diagram, helpful for a possible
experimental setup to achieve a dynamical control over the conduction state of
this and other materials with the similarly strong electron-phonon interaction.
