Graviton noise:the Heisenberg picture

TL;DR

This paper investigates quantum gravitational noise effects on particles using the Heisenberg picture, analyzing stochastic equations, squeezed states, and noise characteristics in different quantum states.

Contribution

It introduces a novel analysis of quantum noise in gravitational fields using the Heisenberg picture, including non-local stochastic equations and state-dependent noise calculations.

Findings

Quantum noise affects particle geodesic deviation.

Squeezed states from inflation influence noise properties.

Thermal and squeezed states exhibit distinct noise characteristics.

Abstract

We study the geodesic deviation equation for a quantum particle in a linearized quantum gravitational field. Particle's Heisenberg equations of motion are treated as stochastic equations with a quantum noise. We explore the stochastic equation beyond its local approximation as a differential. We discuss the squeezed states resulting from an inflationary evolution. We calculate the noise in the thermal and squeezed states.