  We analyze a ultracold fermionic atom system in a three dimensional optical
lattice with a confinement harmonic potential, using the Hubbard model, and
time-dependent Gutzwiller variational approach for numerical calculation. Our
study is focused on the time evolution of the particle transfer when the
lattice potential is modulated by adding a periodic one. The choice of the
parameters such as the modulation frequency and amplitude and the particle
number affects the particle transfer. We calculate the time evolution of the
variance in the particle distribution, and show its dependence on the
parameters. The lattice modulation turns out to work effectively in order to
control the particle transfer, and will be a useful method in experiments for
fermionic atom systems.
