  Time-domain techniques have shown the potential of photo-manipulating
existing orders and inducing new states of matter in strongly correlated
materials. Using time-resolved exact diagonalization, we perform numerical
studies of pump dynamics in a Mott-Peierls system with competing charge and
spin density waves. A light-enhanced $d$-wave superconductivity is observed
when the system resides near a quantum phase boundary. By examining the
evolution of spin, charge and superconducting susceptibilities, we show that a
sub-dominant state in equilibrium can be stabilized by photomanipulating charge
order to allow superconductivity to appear and dominate. This work provides an
interpretation of light-induced superconductivity from the perspective of order
competition, and offers a promising approach for designing novel emergent
states out of equilibrium.
