Abstract
In this paper, we consider the influence of collisional fluctuations on optical phenomena. The fluctuations are taken into account by a simple shift of the constant detuning, involved in a set of optical Bloch equations by collision frequency noise in which this noise is modelled by a two-step random telegraph signal. Following that, the stochastic Bloch equations can be solved analytically in an exact way. As an example, we consider in detail the Mollow spectrum of resonance fluorescence for the case of an arbitrary detuning of the laser frequency, where velocity of the emitters simply has a deterministic value or is distributed with the Maxwell–Boltzmann density in which volume of the buffer gas is arbitrary.
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