Strong laser-atom interaction in the presence of jump-process-type noise: The Bourret approach

Abstract
Atomic excitation by strong noisy lasers with Kubo-Andersontype fluctuations (randomly-interrupted-jump-process noise) is examined. A unified exact approach (based on the Bourret theorem) to phase and amplitude fluctuations is presented. Comparison with the Burshtien method, which was extensively used in recent works, is given. An exact analytical formula for the resolvent of the master Bloch equation in the general case, not necessarily only in resonant excitation, with simultaneous amplitude and phase fluctuations is derived. Some examples are analyzed.