  Using the time-dependent density matrix renormalization group method, we
calculate transport properties of an interacting Fermi gas in an optical
lattice with a confining trap after a sudden displacement of the trap center.
In the regime of attractive interactions, the dipolar motion after the
displacement can be classified into underdamped oscillations and overdamped
relaxations, depending on the interaction strength. These numerical
calculations are consistent with experimental results. In the regime of
repulsive interactions, we predict a revival of the oscillations of the center
of mass when the interaction strength is increased. This unique feature can be
considered as a dynamical signature for the emergence of a Mott plateau for an
interacting trapped Fermi gas in an optical lattice.
