  In this paper, we study the dynamics of the interaction of a three-photon
state and a quantum dot embedded in a semiconductor cavity. In the first place,
we consider an ideal cavity in which the effects due to the environment are
neglected. Under this conditions, the most important feature of the dynamics is
its periodicity, which may be seen on the temporal evolution of the light
state. The entanglement dynamics, which is studied through the negativity and
the linear entropy, shows a periodic behaviour too. On the other hand, when
considering the interaction between the cavity and the environment, taking into
account both an incoherent pumping and a photon leakage, the dynamics is no
longer periodic. Instead, it may be seen that the entanglement reach stationary
values, which depend on the incoherent pumping and photon leakage rates.
Finally, we discuss the possibility of using this sort of systems for quantum
information processing.
