Quantum-limited estimation of continuous spontaneous localization

Abstract

We apply the formalism of quantum estimation theory to extract information about potential collapse mechanisms of the continuous spontaneous localisation (CSL) form. In order to estimate the strength with which the field responsible for the CSL mechanism couples to massive systems, we consider the optomechanical interaction between a mechanical resonator and a cavity field. Our estimation strategy passes through the probing of either the state of the oscillator or that of the electromagnetic field that drives its motion. In particular, we concentrate on all-optical measurements, such as homodyne and heterodyne measurements. We also compare the performances of such strategies with those of a spin-assisted optomechanical system, where the estimation of the CSL parameter is performed through time-gated spin-like measurements.

8 pages, 3 figures, RevTeX4-1; accepted for publication in Phys. Rev. A

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• Conditional dynamics of optomechanical two-tone backaction-evading measurements
• Testing Continuous Spontaneous Localization with Fermi liquids
• Multilayer test masses to enhance the collapse noise
• Fisher-information-based estimation of optomechanical coupling strengths
• Unconditional mechanical squeezing via back-action evading measurements and non-optimal feedback control
• Collapse models: main properties and the state of art of the experimental tests
• Quantum enhanced estimation of diffusion
• Time-local optimal control for parameter estimation in the Gaussian regime
• Optomechanics-based quantum estimation theory for collapse models
• Opto-mechanical tests of collapse models
• The Continuous Spontaneous Localization Layering Effect from a Lattice Perspective
• Force Tracking in Cavity Optomechanics with a Two-Level Quantum System by Kalman Filtering