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Exact method for the simulation of micromaser dynamics. I. Poissonian pump mechanism

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Abstract

An exact method for the simulation of micromaser action is presented. The equation of motion governing the atom–field interaction is solved by inclusion of the effect of cavity dissipation at finite temperature. When the cavity is without an atom, the cavity–reservoir equation as it appears in quantum optics is solved analytically, which is valid for any photon-distribution function required by the initial conditions. The solutions can be fitted into any statistical input of atoms with the condition that, at most, one atom passes through the cavity at any time, and the field as well as the atomic statistics can be obtained. Numerical results are discussed for a Poissonian arrival of atoms at the cavity, and it is observed that the fluctuations in the photon-distribution function, caused solely by the randomness of the pump mechanism, may make the attainment of a Fock state of the cavity field a difficult task experimentally.

© 1996 Optical Society of America

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