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    Area of Science:

    • Atomic, Molecular, and Optical Physics
    • Metrology and Measurement Science

    Background:

    • Fast-light cavities enable rapid measurements of optical properties.
    • Cavity scale factor is crucial for precision metrology.

    Purpose of the Study:

    • To demonstrate a closed-loop fast-light cavity for rapid measurements.
    • To achieve and analyze scale-factor enhancement by altering optical path length.

    Main Methods:

    • Utilized a closed-loop fast-light cavity with an intracavity vapor cell.
    • Varied atomic density via temperature tuning to modify the scale factor.
    • Measured cavity mode frequency and uncertainty within ~10 ms.

    Main Results:

    • Achieved rapid (~10 ms) measurements of cavity mode frequency and uncertainty.
    • Demonstrated scale-factor enhancements up to |S| ≈70.
    • Maintained cavity lock through anomalous dispersion regions.

    Conclusions:

    • Successfully operated a closed-loop fast-light cavity with significant scale-factor enhancement.
    • This method of altering optical path length is novel for fast-light devices.
    • Provides a foundation for enhancing cavity-based metrology instruments.