Abstract
Abstract An exact closed set of first-order linear differential equations for density-matrix elements, expressible in terms of a simple recurrence equation, is derived. This recurrence equation makes possible numerical calculations for a larger number N of atoms and arbitrary cavity damping in the case of spontaneous emission. For the first time, numerical results are presented for N = 3 10 and 18 in the case of high-Q cavities. A comparison with the approximate calculations of Bonifacio et al. is also given for low-Q cavities.
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