  We simulate a balanced attractively interacting two-component Fermi gas in a
one-dimensional lattice perturbed with a moving potential well or barrier.
Using the time-evolving block decimation method, we study different velocities
of the perturbation and distinguish two velocity regimes based on clear
differences in the time evolution of particle densities and the pair
correlation function. We show that, in the slow regime, the densities deform as
particles are either attracted by the potential well or repelled by the
barrier, and a wave front of hole or particle excitations propagates at the
maximum group velocity. Simultaneously, the initial pair correlations are
broken and coherence over different sites is lost. In contrast, in the fast
regime, the densities are not considerably deformed and the pair correlations
are preserved.
