Optomechanics-based quantum estimation theory for collapse models

TL;DR

This paper applies quantum estimation theory to evaluate how quantum resources can improve the detection of collapse model effects on mechanical systems, highlighting conditions where quantum advantages are significant.

Contribution

It introduces a quantum estimation framework for collapse models and demonstrates the benefits of quantum correlations in non-equilibrium conditions for parameter estimation.

Findings

Quantum correlations enhance estimation accuracy in non-equilibrium.

No quantum advantage in stationary conditions.

Framework aids experimental assessment of collapse models.

Abstract

We make use of the powerful formalism of quantum parameter estimation to assess the characteristic rates of a Continuous Spontaneous Localisation (CSL) model affecting the motion of a massive mechanical system. We show that a study performed in non-equilibrium conditions unveils the advantages provided by the use of genuinely quantum resources -- such as quantum correlations -- in estimating the CSL-induced diffusion rate. In stationary conditions, instead, the gap between quantum performance and a classical scheme disappears. Our investigation contributes to the ongoing effort aimed at identifying suitable conditions for the experimental assessment of collapse models.