  The optically induced spin dynamics of a single Mn atom embedded into a
single semiconductor quantum dot can be strongly influenced by using the
optical Stark effect. The exchange interaction gives rise to simultaneous spin
flips between the quantum dot electron and Mn. In the time domain these flips
correspond to exchange induced Rabi oscillations, which are typically
off-resonant. By applying a detuned laser pulse, the states involved in the
flipping can be brought into resonance by means of the optical Stark effect
increasing the amplitude of the Rabi oscillations to one. In this paper we
study theoretically how this spin dynamics can be monitored in time-resolved
spectroscopy. In the spectrum the exchange interaction leads to a splitting of
the exciton line into six lines, each corresponding to one of the six Mn spin
states. The dynamical behavior of the Mn spin is reflected by the strength of
the individual lines as a function of time. When an off-resonant optical pulse
is applied the spectral positions of the lines shift, but still the flipping
dynamics is visible.
