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We perform time-resolved exact diagonalization of the Hubbard model with timedependent hoppings on small clusters of up to $12$ sites. Here, the timedependence originates from a classic electromagnetic pulse, which mimics theimpact of a photon. We investigate the behavior of the double occupation andspectral function after the pulse for different cluster geometries and on-sitepotentials. We find impact ionization in all studied geometries except forone-dimensional chains. Adding next-nearest neighbor hopping to the model leadsto a significant enhancement of impact ionization, as does disorder andgeometric frustration of a triangular lattice.

Enhancement of impact ionization in Hubbard clusters by disorder and next-nearest-neighbor hopping