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Springer eBooks

Atomic Excitation by a Jump-Noisy Laser

Bruce W. Shore, Joseph H. Eberly

Published Jan 1, 1984• 1 citation
Publisher
DOI
10.1007/978-1-4757-0605-5_54

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Physical Review A•Dec 1, 1988•67 citations
In this paper, a practical scheme for computing time-dependent properties, such as excitation probabilities and dipole correlation functions of a multilevel atom strongly excited by a laser in the presence of noise, is described in detail. The method, which is based on the notion of randomly interrupted, multivalued jump processes, can be used to treat laser phase, amplitude, and/or frequency noise, and fluctuating microfields. The method provides analytic expressions, which are based on eigenvalues and eigenvectors of a finite-dimensional matrix, for time dependence and spectral dependence, and it permits computation of time-dependent fluorescence emitted from atoms excited by a noisy laser. The method is illustrated by application to time-dependent spectra.
Atomic excitation by strong noisy lasers with Kubo-Anderson--type 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.
Significant fluctuations, above the shot-noise limit, have been observed in the intensity of fluorescent light scattered from atoms excited by an intense noisy laser, where a central role is played by the nonlinearity of the atom-field interaction. By considering the variance of the atomic populations, we show that ``noise spectroscopy'' is sensitive to the field statistics of the laser. We specifically consider the cases of resonance fluorescence (analogous in the weak-field limit to analysis by a Fabry-P\'erot interferometer), two-photon excitation, and double optical resonance for variable laser intensity and bandwidth. We show that large differences in the ``noise'' spectra can occur between lasers characterized by a phase-diffusion or a phase-jump model, although these models would give the same values for the mean atomic populations. We believe that observation of population fluctuations can become a useful method for characterizing laser noise.