https://doi.org/10.1007/s100530170018
Electromagnetically induced transparency and evolution of a two-level system under chaotic field of arbitrary intensity
Chemical Physics Department, Weizmann Institute of Science,
Rehovot 76100, Israel
Corresponding author: a abraham.kofman@weizmann.ac.il
Received:
31
December
2000
Revised:
14
May
2001
Published online: 15 November 2001
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.
PACS: 42.50.Gy – Effects of atomic coherence on propagation, absorption, and amplification of light / 42.50.Md – Optical transient phenomena: quantum beats, photon echo, free-induction decay, dephasings and revivals, optical nutation, and self-induced transparency / 42.60.Mi – Dynamical laser instabilities; noisy laser behavior
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2001
