量子频率标准和磁强计长期不稳定性性质的研究结果
Results of the Investigations of the Nature of the Long -Term Instability in Quantum Frequency Standards and Magnetometers
摘要：
问题的分析结果使作者得出结论：谐振频率长期不稳定性和谐振频率漂移的本质与“原子+场”系统在谐振附近小范围内的相位动力学有关。调查是基于严格证实的渐近Krylov-Bogolyubov微扰理论。公开了扰动场振幅对谐振频率的时间相关（漂移）一阶校正。结果发现，这种校正总是存在的，是负责的频率漂移和长期不稳定性。得到了量子系统精确共振的充要条件，以及实现稳定（平稳，稳态）无漂移振荡态的条件.
英文摘要：
The problem analysis results made the author to draw a conclusion that the nature of the resonance frequency long-term instability and drift at harmonic excitation is related to the phase dynamics of the "atom + field" system in the small vicinity of the resonance. The investigation is based on the strictly substantiated asymptotic Krylov-Bogolyubov perturbation theory. A time-dependent (drift) first-order correction of the perturbing field amplitude to the resonance frequency was disclosed. It was found that this correction is always present and is responsible for the frequency drift and long-term instability. The necessary and sufficient conditions of accurate resonance, as well as the conditions of realization of a stable (stationary, steady-state) drift-free oscillation regime in a quantum system, are obtained.
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