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Fermionic atoms in a periodic optical lattice provide a realization of the single-band Hubbard model. Using quantum Monte Carlo simulations along with the maximum-entropy method, we evaluate the effect of a time-dependent perturbative modulation of the optical lattice amplitude on atomic correlations, revealed in the fraction of doubly occupied sites. We find that the effect of modulation depends strongly on the filling-the response of the double occupation is significantly different in the half-filled Mott insulator from that in the doped Fermi liquid region. © 2011 American Physical Society.

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Physical Review A - Atomic, Molecular, and Optical Physics