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中国物理学会期刊

光晶格原子钟Rabi谱的Fisher信息及最佳测量

CSTR:32037.14.aps.75.20251198

Fisher information and optimal measurement of Rabi spectrum in optical lattice atomic clocks

CSTR:32037.14.aps.75.20251198
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  • Fisher信息在参数估计中扮演着至关重要的角色. 本文探究了不同退相干强度下光晶格原子钟Rabi谱的Fisher信息, 发现其极大值点并非总是位于谱线半高宽点, 而是随系统退相干强度的变化而移动. 在退相干较弱时, 最大 Fisher 信息点更接近共振中心, 且相较于传统半高宽测量点可获得更高的信息增益. 进一步地, 本文通过数值仿真模拟了钟跃迁探测激光闭环过程中的艾伦方差, 证明了通过选择最大Fisher信息点进行闭环锁定可以提高光钟稳定度.

    Optical lattice atomic clocks have achieved remarkable fractional frequency uncertainties, playing a vital role in precision metrology and fundamental physics. In the closed-loop operation of an optical clock, stabilizing the clock laser to the ultra-narrow atomic transition is essentially a parameter estimation problem. Although measurements are conventionally performed at the full-width at half-maximum (FWHM) of the Rabi spectrum to maximize the discriminator slope, it remains unclear whether this point provides the maximum Fisher information under the influence of system decoherence. In this paper, we theoretically and numerically investigate the Fisher information of the Rabi spectrum under varying decoherence strengths. To accurately quantify the decoherence effect, we introduce a coherence contrast parameter α (\alpha \in (0, 1). By analyzing the physical competition between the spectral line slope (representing signal sensitivity) and the quantum projection noise (QPN), we reveal the underlying mechanism governing the optimal measurement point. We find that under ideal fully coherent conditions (\alpha = 1), the maximum Fisher information is located exactly at the resonance center. However, when decoherence is present (\alpha \lt 1), the non-zero QPN at resonance forces the maximum Fisher information point to shift towards the FWHM to seek a larger spectral slope.
    To evaluate the practical enhancement of this mechanism, we further construct a numerical simulation of the clock laser locking process. The simulated Allan variance confirms that tracking the dynamically optimized detuning point (e.g., \Delta\delta = 0.653g at \alpha = 0.9) effectively reduces the Allan variance compared with the traditional FWHM measurement (\Delta\delta \approx 0.8g). Our study proposes a dynamic optimization strategy that significantly improves the stability of optical lattice clocks purely through measurement scheme optimization, without requiring any additional hardware modifications.

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