We present a rigorous justification for the applicability of the recently developed methods of generalized autobalanced Ramsey spectroscopy (GABRS) [V. I. Yudin et al., Phys. Rev. Appl. 9, 054034 (2018)] and combined error signal in Ramsey spectroscopy (CESRS) [ , New J. Phys. 20, 123016 (2018)] for resonances of coherent population trapping (CPT). A protocol of modified combined error signal for CPT resonances is also proposed, in which two successive interrogations of atoms under different times of free evolution are integrated in one cycle. The implementation of the GABRS and CESRS methods in a compact atomic clock based on the CPT effect allows us to significantly suppress the light shift and its fluctuation, which will lead to an improvement in the long-term stability and accuracy of these devices. Moreover, these spectroscopic schemes are insensitive to various distortions of the pulse shape, relaxation processes, errors in the generation of phase jumps, etc., which provides their high reliability and immunity to perturbations.

中文翻译：

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相干捕获阱共振光谱中的广义Ramsey方法

我们为最近开发的广义自动平衡拉姆西光谱（GABRS）方法的适用性提出了严格的理由[VI Yudin等。，物理 Rev. Appl。 9，在拉姆齐光谱054034（2018）]和组合误差信号（CESRS），新J.物理学。 20，123016（2018）]进行相干种群捕获（CPT）的共振。还提出了一种用于CPT共振的改进的组合误差信号协议，该协议将在不同自由演化时间下原子的两次连续询问集成在一个周期中。基于CPT效应的紧凑型原子钟中GABRS和CESRS方法的实现使我们能够显着抑制光偏移及其波动，这将改善这些设备的长期稳定性和准确性。此外，这些光谱方案对脉冲形状的各种变形，弛豫过程，相位跳变的产生中的误差等不敏感，这提供了它们的高可靠性和抗扰性。