Precise estimation of the coupling strength between two nanomechanical modes from four Ramsey fringes

TL;DR

This paper introduces a Ramsey-inspired technique to precisely measure the coupling strength between two nanomechanical modes using only four fringes, enabling sensitive detection of electrostatic field fluctuations.

Contribution

The authors develop a novel Ramsey-based method for accurately estimating nanomechanical coupling strength from minimal signal data, advancing nanoscale sensing capabilities.

Findings

Successfully measured coupling strength with high precision

Demonstrated sensitivity to electrostatic field fluctuations

Method requires only four Ramsey fringes for analysis

Abstract

We experimentally determine the coupling strength between two strongly coupled nanomechanical modes using a Ramsey-inspired technique optimized for signals as short as four fringes. The method is applied to precisely probe the change of the coupling rate induced by a modification of the microwave-cavity readout field. It opens a pathway towards sensing electrostatic field fluctuations approaching single-charge resolution.