Gravitational Decoherence Estimation in Optomechanical Systems

TL;DR

This paper develops a quantum estimation framework to quantify the limits of detecting gravitationally induced decoherence in optomechanical systems using Gaussian states, revealing measurable signatures and fundamental sensitivity bounds.

Contribution

It introduces a comprehensive quantum estimation approach combining microscopic gravitational diffusion models with quantum Fisher information for optomechanical systems.

Findings

Gravitational diffusion causes measurable signatures in mechanical states.

The sensitivity to gravitational decoherence depends on probe state preparation.

Fundamental limits for gravity-driven decoherence detection are established.

Abstract

We develop a comprehensive quantum estimation framework to quantify how precisely gravitationally induced decoherence can be inferred in optomechanical systems, using single-mode Gaussian probe states. Our approach combines a microscopic description of the gravitational diffusion mechanism with quantum Fisher information to determine the ultimate sensitivity achievable in principle. We show that gravitational diffusion leaves distinct, measurable signatures in the mechanical state, both during transient evolution and in the stationary regime. Finally, we identify how probe state preparation shapes the attainable precision, thereby establishing fundamental limits for detecting and estimating gravity-driven decoherence.