  We investigate the ultrafast optical response of the one-dimensional
half-filled extended Hubbard model exposed to two successive laser pulses. By
using the time-dependent Lanczos method, we find that following the first
pulse, the excitation and deexcitation process between the ground state and
excitonic states can be precisely controlled by the relative temporal
displacement of the pulses. The underlying physics can be understood in terms
of a modified Rabi model. Our simulations clearly demonstrate the
controllability of ultrafast transition between excited and deexcited phases in
strongly correlated electron systems.
