The Gravito-Phononic Effect: A Quantum Signature of Linearised Gravity

TL;DR

This paper explores a gravitational analogue of the photo-electric effect using coupled harmonic oscillators, proposing a potential method to detect gravitons by observing discrete energy transfer signatures.

Contribution

It introduces a novel model linking graviton detection to a gravito-phononic effect analogous to the photo-electric effect, providing a new approach for quantum gravity experiments.

Findings

Harmonic oscillator model exhibits photo-electric signatures

Resonance conditions enable quantised energy absorption

Implications for graviton detection protocols

Abstract

The photo-electric effect was a historic milestone in the development of quantum theory, revealing the first evidence of discrete energy of the electromagnetic field through hallmark signatures such as the threshold frequency, intensity-independent energy transfer, and the near instantaneous ejection of photo-electrons. Here, we discuss the photo-electric effect through the lens of semi-classical, quantum, and neo-classical models. We provide a pedagogical outline for how two coupled harmonic oscillators, under a beam-splitter interaction, can exhibit hallmark signatures analogous to the photo-electric effect, including resonance conditions and quantised energy absorption. We discuss the implications of this model for recently proposed graviton detection protocols. This further clarifies that a gravitational version of the photo-electric effect, modelled as discrete energy transfer between harmonic oscillators can provide the first evidence of the graviton.