The population dynamics of a strongly excited four-level quantum syste
m with allowed loss out of the system from the highest state are analy
sed. This work has been stimulated by the paper of Cardimona et al. an
d represents a more general treatment of the problem studied by them.
In particular, we show that the reduction in the ground-state populati
on decay rate for large losses is not a consequence of the two-level b
ehaviour but is a more general phenomenon. On the basis of numerical a
nd analytical solutions we demonstrate that for an arbitrary excitatio
n regime, at sufficiently large decay rate, the population loss dynami
cs of the four-level system is reduced to that of a slowly damped thre
e-level system. We demonstrate also that the detailed knowledge of the
coherent population dynamics enables us to predict the effect of deca
y rate on the population's time evolution for arbitrary choice of dyna
mic parameters.