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Regularly injected one-atom maser in the high-flux regime: a numerical study

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Abstract

We present a numerical study of the regularly injected one-atom maser in the high-flux regime, namely, when the time spacing between two consecutive injected atoms is comparable with the atom–field interaction time. Gain and losses are treated simultaneously in a general master equation that takes into account atomic incoherent decay. At stroboscopic times the dynamics of photon-number probability distribution is given by a suitably reduced Green operator, which has the form of a Markoff matrix. We perform a spectral analysis of the Green operator, showing 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 θ. Regular injection leads to larger gain than Poissonian, but for high values of θ the opposite result can be found. Anomalous behaviors occur in which the normalized field fluctuations are increased by regularization of pumping and decreased by atomic decay: these features confirm similar anomalies found 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 signature of trapping states on the stationary field. A comparison with a previously studied semiclassical model is given.

© 1995 Optical Society of America

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