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Physical Review A

Influence of pre-Gaussian noise on selective ionization

L.C. De Winter, Tina L. Weeding

Published Feb 1, 1990• 0 citations
Publisher

Abstract

We treat the selective ionization of one component in a two-component mixture. The ionization is modeled by a two-step process involving a pair of two-level systems. The laser field exhibits stochastic fluctuations in phase, frequency, and amplitude which are described by a pre-Gaussian model. We demonstrate the effect of the parameters of the model on ionization and selectivity. The regions where perturbation theory may be applied are discussed.

DOI
10.1103/physreva.41.1466

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We treat the selective ionization of one component in a two-component mixture. The ionization is modeled by a two-step process involving a pair of two-level systems. The laser field exhibits stochastic fluctuations in phase, frequency, and amplitude which are described by a pre-Gaussian model. We demonstrate the effect of the parameters of the model on ionization and selectivity. The regions where perturbation theory may be applied are discussed.
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We present a continuation of a general theoretical approach to noisy laser-atom interactions based on a special Markov-chain description of external fluctuations. This chain, composed of n independent two-state jump processes, forms a non-Gaussian stochastic process from which a detailed discussion of the atomic response can be given. We show that the n-component Markov chain also has the property of pre-Gaussian noise, because in the limit of n → ∞ it converges to a Gaussian stochastic process. We exhibit solutions for the field spectrum and the atomic-fluorescence spectrum for phase, frequency, and amplitude pre-Gaussian fluctuations of the driving-laser light.
The nonlinear dynamics of a sample of two-level systems exposed to noisy laser light is investigated. As stochastic models we treat the chaotic field and the real Gaussian field. Based on the method of marginal characteristic functions, we deduce analytical solutions for the mean values and variances of the atomic populations in terms of matrix continued fractions. We find significantly enhanced on-resonance fluctuations for a real Gaussian field compared to a chaotic field of the same bandwidth and intensity. Furthermore, in contrast to phase-noise models, the fluctuations in the fluorescence intensity do not decrease to zero in the limit of slow fluctuations.
A treatment is given of two-photon ionization in which particular attention is paid to the influence of the bandwidth of the ionizing light on the ionization rate. The model adopted for the atom is a common one, including two bound levels and a continuum. The model of the laser is general enough to allow short-term temporal fluctuations of amplitude or phase, and these fluctuations give rise to the laser bandwidth. It is found that the fluctuations have the most interesting effects on the ionization rate when the laser coherence time is shorter than the atomic memory time, as could be expected. In addition to laser bandwidth, we consider the influence on the ionization rate of the detuning of the laser from the intermediate-state resonance, the laser power, and the finite lifetime of the intermediate state. Comparisons with related earlier calculations are made and similarities and differences are pointed out.