An Analog Model for Quantum Lightcone Fluctuations in Nonlinear Optics

TL;DR

This paper introduces an analog model using nonlinear optics to simulate quantum gravity effects, specifically lightcone fluctuations, suggesting potential experimental observation of these phenomena in laboratory settings.

Contribution

It proposes a novel analogy between quantum gravity lightcone fluctuations and nonlinear optical effects caused by background electric field fluctuations.

Findings

Numerical estimates indicate the effect could be observable.

The model links squeezed photon states to effective lightcone fluctuations.

Potential for experimental tests of quantum gravity analogies.

Abstract

We propose an analog model for quantum gravity effects using nonlinear dielectrics. Fluctuations of the spacetime lightcone are expected in quantum gravity, leading to variations in the flight times of pulses. This effect can also arise in a nonlinear material. We propose a model in which fluctuations of a background electric field, such as that produced by a squeezed photon state, can cause fluctuations in the effective lightcone for probe pulses. This leads to a variation in flight times analogous to that in quantum gravity. We make some numerical estimates which suggest that the effect might be large enough to be observable.