Abstract
A dynamical system consisting of a multilevel atomic gas medium subject to an electromagnetic field is analyzed by the density-matrix equations of motion. All stochastic processes such as elastic and inelastic atomic collisions and spontaneous emission are described by a damping matrix. Analytical expressions for the density-matrix elements to any order of perturbation theory (without any multipolar and rotating wave approximations) are obtained by means of the Laplace-transform method in a diagonal representation of the damping matrix. Closed formulae for the high-order susceptibilities are derived.
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