We study a nonlinear semiclassical and fully quantum-mechanical theory
of a laser with an active medium of three-level atoms that may be ini
tially prepared in a coherent superposition and interact with a classi
cal external electromagnetic field. In particular, we determine the in
tracavity and output photon statistics of the laser light in a broad r
ange of parameters. We find an inner sub-Poissonian statistics with a
Mandel parameter close to the minimal value -1 when the laser is opera
ting with initially prepared atoms, off resonant, and without inversio
n of the populations. In another regime, with, however, less favorable
intracavity statistics, we find squeezing in the intensity output flu
ctuations of 80%, which is well above the present state of art noise r
eduction for this kind of coherently driven laser system.