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    Area of Science:

    • Atomic physics
    • Quantum optics
    • Laser spectroscopy

    Background:

    • Two-photon coherence and three-photon coherence are quantum interference phenomena.
    • Electromagnetically induced transparency (EIT) and absorption (EIA) are sensitive to coherence effects.
    • Doppler-broadened atomic systems present challenges for high-precision spectroscopy.

    Purpose of the Study:

    • To investigate the relationship between two- and three-photon coherence.
    • To determine the conditions for observing three-photon electromagnetically induced absorption (TPEIA).
    • To analyze the influence of coupling field intensity on coherence phenomena.

    Main Methods:

    • Theoretical investigation of a Doppler-broadened ladder-type atomic system.
    • Numerical calculation of coherence effects in a three-level (87)Rb atomic system (5S(1/2)-5P(3/2)-5D(5/2) transition).
    • Analysis of transition routes and coupling field intensities.

    Main Results:

    • Three-photon electromagnetically induced absorption (TPEIA) was observed, linked to three-photon coherence.
    • Two-photon coherence was identified as a prerequisite for three-photon coherence.
    • Three-photon coherence demonstrated a faster increase with coupling field intensity compared to two-photon coherence.

    Conclusions:

    • Established the necessary condition of two-photon coherence for three-photon coherence.
    • Quantified the relationship between two- and three-photon coherence in a specific atomic system.
    • Provided insights into controlling and enhancing multi-photon coherence effects.