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Journal of the Physical Society of Japan

On the Significance of the Atomic Operators Characteristic of the Split Components in the Study of the Resonanc Fluorescence from A Two-Level Atom

Snehlata Kalia, L. M. Bali, Sharmishtha Roy

Published Mar 15, 1980• 1 citation
Publisher

Abstract

It is shown that the atomic operators characteristic of the split components in the resonance fluorescence produced by a two-level atom obtained earlier (J. Phys. Soc. Jpn. 47 (1979) 903) are essentially the transition operators for the composite atom-applied-field system. The exact relationship between these two sets of operators is determined.

DOI
10.1143/jpsj.48.1045

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It is shown that the atomic operators characteristic of the split components in the resonance fluorescence produced by a two-level atom obtained earlier (J. Phys. Soc. Jpn. 47 (1979) 903) are essentially the transition operators for the composite atom-applied-field system. The exact relationship between these two sets of operators is determined.
An experiment was performed recently [Y. Zhu, A. Lezama, Q. Wu, and T. W. Mossberg (unpublished)] in which a two-level atom of transition frequency \ensuremath{\Omega} was placed in a bichromatic laser field with frequencies \ensuremath{\Omega}\ifmmode\pm\else\textpm\fi{}\ensuremath{\delta}, of sufficient intensity to produce dynamic Stark splitting. The observed fluorescence spectrum differed qualitatively in almost all its details from the well-known Mollow triplet [B. R. Mollow, Phys. Rev. 188, 1969 (1969)]. In this article, we use a dressed-atom model to explain the observed results.
We identify discrepancies between two published predictions of the resonance fluorescence from a two-level atom driven by a strong bichromatic field [J. Opt. Soc. Am. B 8,8,8, 1163 (1991) and Phys. Rev. A 48,48,48, 3092 (1993)]. These discrepancies are shown to arise from subtleties in extracting the time-averaged resonance fluorescence from the expansions used to solve the optical Bloch equations. We construct a solution to these equations that corrects the results of the latter reference and reconciles the two predictions.
We calculate the steady-state spectrum of resonance fluorescence from a two-level atom coupled to a single cavity mode and driven by a strong, in general off-resonance, external field. In the strong-coupling limit, each Mollow triplet component is split into a multiplet, whose detailed structure depends on the atom–cavity coupling, the cavity and spontaneous emission decay constants, and the photon-number distribution of the cavity mode. The dressed states for this system are identified, and the spectral features are interpreted in terms of transitions among these dressed states. In particular, we find that the central component of the central multiplet can have a strongly subnatural linewidth.