Detecting and characterizing frequency fluctuations of vibrational modes

TL;DR

This paper introduces a method to distinguish frequency fluctuations of vibrational modes from other phase noise sources by analyzing the complex amplitude over time, applicable to both classical and quantum vibrations.

Contribution

The paper presents a novel analysis technique that isolates frequency noise characteristics from phase noise in vibrational systems.

Findings

Effective separation of frequency fluctuations from phase noise.

Applicable to both classical and quantum vibrational modes.

Provides insights into the power spectrum of frequency noise.

Abstract

We show how frequency fluctuations of a vibrational mode can be separated from other sources of phase noise. The method is based on the analysis of the time dependence of the complex amplitude of forced vibrations. The moments of the complex amplitude sensitively depend on the frequency noise statistics and its power spectrum. The analysis applies to classical and to quantum vibrations.