Fundamental limits and optimal estimation of the resonance frequency of a linear harmonic oscillator

• Published in: Communications physics Vol. 4; no. 1; pp. 1 - 11
• Main Authors: Wang, Mingkang, Zhang, Rui, Ilic, Robert, Liu, Yuxiang, Aksyuk, Vladimir A.
• Format: Journal Article
• Language: English
• Published: London Nature Publishing Group UK 15.09.2021; Nature Publishing Group; Nature Portfolio
• Subjects: 639/766/530/2804; 639/925/927; Bandwidths; Fisher information; Frequency analysis; Frequency measurement; Harmonic oscillators; Information theory; Lower bounds; Maximum likelihood estimators; Noise; Oscillators; Perturbation; Physics; Physics and Astronomy; Resonance; Resonant frequencies; Silicon nitride; Uncertainty

All physical oscillators are subject to thermodynamic and quantum perturbations, fundamentally limiting measurement of their resonance frequency. Analyses assuming specific ways of estimating frequency can underestimate the available precision and overlook unconventional measurement regimes. Here we...