Abstract:
The electromagnetically induced transparency (EIT) with a (near-)resonant chaotic (amplitude-phase fluctuating, Gaussian-Markovian) coupling field is studied theoretically. The Fourier transform of the steady-state EIT spectrum, which determines a nonstationary probe absorption, is also considered. This quantity equals the average diagonal element of the (reduced) evolution operator of the coupled transition (the evolution function). The exact solution in the form of a continued fraction is obtained and used to perform numerical calculations. Moreover, a number of approximate analytical results are obtained, which, together with the results of previous publications, describe the EIT and the evolution function in all possible regimes. In particular, in the constructive-interference case the EIT increases with the coupling-field bandwidth ν at sufficiently small ν. For a strong field, the maximum of the transparency as a function of ν is less than that for a monochromatic field of the same average intensity. In contrast, for a weak field, there is a range of ν values, where the field fluctuations do not affect the EIT. The latter result is shown to hold for a broad class of stochastic fields.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received 31 December 2000 and Received in final form 14 May 2001
An erratum to this article is available at http://dx.doi.org/10.1140/epjd/e2002-00182-3.
Rights and permissions
About this article
Cite this article
Kofman, A. Electromagnetically induced transparency and evolution of a two-level system under chaotic field of arbitrary intensity. Eur. Phys. J. D 17, 153–165 (2001). https://doi.org/10.1007/s100530170018
Issue Date:
DOI: https://doi.org/10.1007/s100530170018