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Line Shape of the Sub-Doppler Resonance in Alkali-Metal Atomic Vapors in the Field of Counterpropagating Bichromatic Laser Beams

  • ATOMS, MOLECULES, OPTICS
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Abstract

High-contrast sub-Doppler resonances observed in alkali-metal atomic vapors in the field of counterpropagating bichromatic laser beams are perspective in quantum metrology for designing a miniature optical frequency standard. Until now, these nonlinear resonances have been investigated only experimentally or using numerical calculations. In our opinion, the development of a simplified theoretical model of the observed resonances, which would provide explicit compact analytic expressions describing the line shape of the resonance, would be extremely important for further evolution of the theory. In this study, we perform such theoretical analysis based on the three-level Λ scheme of the atom. We investigate two regimes, viz., the regime of a low-intensity standing wave with close intensities of counterpropagating beams (I1 ≈ I2) and the regime of a probe wave, in which one of the beams has a noticeably lower intensity than that of the oppositely propagating beam (I2 ≪ I1). The resulting analytic expressions make it possible to determine qualitative differences between these regimes and to separate explicitly the contributions from different nonlinear effects to the light field absorption, including the terms responsible for the formation of a high-contrast sub-Doppler peak. The expressions derived here are in qualitative agreement with experimental data obtained earlier.

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Funding

The work of A.M. Mikhailov and D.V. Brazhnikov was supported by the Russian Science Foundation (grant no. 17-72-20089) and the Russian Foundation for Basic Research (grant no. 20-02-00075). R. Boudot is grateful to Agence Nationale de la Recherche for support under project LabeX FIRST-TF (ANR grant no. 10-LABX-0048)

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Authors and Affiliations

  1. Institute of Laser Physics, Siberian Branch, Russian Academy of Sciences, 630090, Novosibirsk, Russia

    A. M. Mikhailov & D. V. Brazhnikov

  2. Novosibirsk State University, 630090, Novosibirsk, Russia

    A. M. Mikhailov & D. V. Brazhnikov

  3. FEMTO-ST, CNRS, Université de Bourgogne Franche-Conté, 25090, Besançon, France

    R. Boudot

Authors
  1. A. M. Mikhailov
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  2. R. Boudot
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  3. D. V. Brazhnikov
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Correspondence to D. V. Brazhnikov.

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The authors declare that they have no conflicts of interest.

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Translated by N. Wadhwa

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Mikhailov, A.M., Boudot, R. & Brazhnikov, D.V. Line Shape of the Sub-Doppler Resonance in Alkali-Metal Atomic Vapors in the Field of Counterpropagating Bichromatic Laser Beams. J. Exp. Theor. Phys. 133, 696–710 (2021). https://doi.org/10.1134/S106377612112013X

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  • DOI: https://doi.org/10.1134/S106377612112013X

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