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    Long-term instability in rubidium vapor-cell clocks is primarily caused by environmental factors. This study identifies key limitations and suggests methods for achieving high stability in compact atomic clocks.

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    Area of Science:

    • Atomic Physics
    • Metrology
    • Quantum Technologies

    Background:

    • Long-term frequency instabilities in vapor-cell clocks are mainly due to environmental and experimental parameter fluctuations.
    • These fluctuations are converted into clock frequency shifts through various physical processes.
    • Understanding these sensitivities is crucial for developing stable atomic clocks.

    Purpose of the Study:

    • To analyze frequency sensitivities and stability limitations of a rubidium vapor-cell clock.
    • To investigate a compact magnetron-type cavity clock operated in ambient air.
    • To establish a long-term instability budget for the clock under stable pressure conditions.

    Main Methods:

    • Operated a rubidium vapor-cell clock with a magnetron-type cavity in ambient air.
    • Measured frequency sensitivities and instability at a one-day timescale.
    • Established a long-term instability budget, measuring parameter fluctuations via atomic response where possible.

    Main Results:

    • Atmospheric pressure fluctuations can significantly limit clock stability via the barometric effect under ambient conditions.
    • The measured clock instability at one day was limited by the intensity light-shift effect.
    • Identified potential for improvement through active laser intensity stabilization or enhanced optical pumping.

    Conclusions:

    • The study provides a comprehensive instability budget for the rubidium vapor-cell clock.
    • Achieving excellent long-term stabilities (≤ 10⁻¹⁴ at one day) is feasible for simple, compact, low-power vapor-cell clocks in ambient conditions.
    • Further improvements can be made by addressing laser intensity fluctuations and optimizing optical pumping.