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Asymptotic solutions of equations for P- and Q-distributions in the model of a single-atom laser with incoherent pumping
Russian version
Larionov N. V. 1,2
1State Marine Technical University, St. Petersburg, Russia
2Peter the Great Saint-Petersburg Polytechnic University, St. Petersburg, Russia
Email: larionov.nickolay@gmail.com
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The steady-state operation of a single-atom laser with incoherent pumping is investigated based on equations for phase-averaged P and Q distributions. It is shown that under the conditions of the existence of a semiclassical solution, a large parameter appears in these equations, which makes it possible to obtain their approximate solutions. The latter contain the main asymptotic solutions obtained earlier and describe the operation of a single-atom laser on two characteristic scales of the problem: "linear", when a single-atom laser can generate like a conventional laser, and "square-law", when the Fermi statistics of a single-atom are significant. It is shown that for the introduced "linear" scale of the problem, the P distribution of a single-atom laser coincides with the corresponding distribution for a laser with a macroscopic number of emitters. The conditions for the thresholdless operation of a single-atom laser have been clarified. Keywords: single-atom laser, quasi-probability distribution, strong coupling regime, sub-Poisson statistics, two-level atom, thresholdless regime.
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