Gm. Dariano et al., REGULARLY INJECTED ONE-ATOM MASER IN THE HIGH-FLUX REGIME - A NUMERICAL STUDY, Journal of the Optical Society of America. B, Optical physics, 12(2), 1995, pp. 348-357
We present a numerical study of the regularly injected one-atom maser
in the high-flux regime, namely, when the time spacing between two con
secutive injected atoms is comparable with the atom-field interaction
time. Gain and losses are treated simultaneously in a general master e
quation that takes into account atomic incoherent decay. At stroboscop
ic times the dynamics of photon-number probability distribution is giv
en by a suitably reduced Green operator, which has the form of a Marko
ff matrix. We perform a spectral analysis of the Green operator, showi
ng the influence of photon traps on the eigenvalues. A comparison with
the opposite case of Poissonian injection and low flux is given for a
wide range of the pumping parameter theta. Regular injection leads to
larger gain than Poissonian, but for high values of theta the opposit
e result can be found. Anomalous behaviors occur in which the normaliz
ed field fluctuations are increased by regularization of pumping and d
ecreased by atomic decay: these features confirm similar anomalies fou
nd by other authors and are ascribed to the occurrence of nonclassical
multiple-peak photon distributions and to different responses of the
peaks to dissipation and gain. Atomic elastic collisions destroy any s
ignature of trapping states on the stationary field. A comparison with
a previously studied semiclassical model is given.