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AIP conference proceedings

Dynamics Of Interaction Of Quantum System With Stochastic Fields

Собакинская Екатерина Александровна, A. L. Pankratov, В. Л. Вакс, Massimo Macucci, Giovanni Basso

Published Jan 1, 2009• 2 citations
Publisher

Abstract

Analytical and numerical calculations of dynamics of polarization and population difference for two‐level quantum system, interacting with stochastic fields are presented. For the stochastic fields we consider two cases: phase‐diffusion and colored‐noise field of arbitrary intensity. Stationary values and characteristic evolution times of polarization and population difference are defined.

DOI
10.1063/1.3140530

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Expressions for polarization and population difference of a quantum system in the modulated optical field at the modulation frequency exceeding the transition line width have been obtained in the form of the Fourier series. The characteristic frequency of the system, or the Rabi frequency, has been determined numerically. It depends not only on the intensity of the carrier wave and the detuning magnitude but also on depth and frequency of modulation. The computational technique is applicable both for amplitude and phase modulation.
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.