PHOTON-NUMBER DISTRIBUTIONS OF LASERS GENERATED VIA PUMP-NOISE SUPPRESSION

The photon-number distribution of lasers generated via pump-noise supp ression is derived in the photon-number representation. The derivation shows that the negative probability emerging in the calculation of th e photon-number distribution in the photon-number representation is no t caused by the representation itself but by the truncation of the mas ter equation. Here without truncating the master equation we derive th e characteristic function and the distribution function of the photon- number distribution of the laser system with regular pump and with spo ntaneous atomic decays being eliminated. It is convenient to use the c haracteristic function to calculate any order of the moment of the pho ton-number distribution. Such a method can be used to some more genera l cases, in which the laser system has imperfectly regular pump and th e spontaneous atomic decays are also considered.