Smoothing of Gaussian quantum dynamics for force detection

TL;DR

This paper develops a formalism for predicting and retrodicting Gaussian quantum systems under continuous measurement, demonstrating improved force detection and accelerometry by utilizing full measurement records.

Contribution

It introduces a new formalism for Gaussian quantum systems that enhances force detection by combining prediction and retrodiction with continuous measurement data.

Findings

Retrodiction improves force detection sensitivity.

Full measurement record enhances accelerometry accuracy.

Formalism applies to impulse-like force detection.

Abstract

Building on recent work by Gammelmark et al. [Phys. Rev. Lett. 111, 160401 (2013)] we develop a formalism for prediction and retrodiction of Gaussian quantum systems undergoing continuous measurements. We apply the resulting formalism to study the advantage of incorporating a full measurement record and retrodiction for impulse-like force detection and accelerometry.