  With a combination of numerical methods, including quantum Monte Carlo, exact
diagonalization, and a simplified dynamical mean-field model, we consider the
attosecond charge dynamics of electrons induced by strong-field laser pulses in
two-dimensional Mott insulators. The necessity to go beyond single-particle
approaches in these strongly correlated systems has made the simulation of
two-dimensional extended materials challenging, and we contrast their resulting
high-harmonic emission with more widely studied one-dimensional analogues. As
well as considering the photo-induced breakdown of the Mott insulating state
and magnetic order, we also resolve the time and ultra-high frequency domains
of emission, which are used to characterize both the photo-transition, and the
sub-cycle structure of the electron dynamics. This extends simulation
capabilities and understanding of the photo-melting of these Mott insulators in
two-dimensions, at the frontier of attosecond non-equilibrium science of
correlated materials.
