Rogue quantum gravitational waves

TL;DR

This paper introduces the concept of rogue quantum gravitational waves, demonstrating through numerical simulations that noise can induce modulation instability, leading to chaotic high-amplitude waves with potential implications for quantum gravity phenomena.

Contribution

The paper presents the first numerical evidence of rogue quantum gravitational waves arising from noise-induced modulation instability in the Schrödinger-Newton system.

Findings

Noise triggers modulation instability in the Schrödinger-Newton system.

Chaotic high-amplitude waves, termed rogue quantum gravitational waves, can form.

Probabilities and characteristics of rogue wave occurrences are discussed.

Abstract

In this paper, we propose the existence and discuss the properties of rogue quantum gravitational waves. More specifically, we numerically solve the Schr\"odinger-Newton system of equations using a spectral scheme with a $4^{th}$ order Runge-Kutta time integrator and show that noise either imposed on wave function $\Psi$, or the gravitational field $\Phi$, triggers the modulation instability which turns the monochromatic wave fields into chaotic ones exhibiting high and unexpected waves. Such waves can be named as rogue quantum gravitational waves. We discuss the characteristics and probabilities of occurrences of such rogue waves in the frame of the Schr\"odinger-Netwon equations. We suggest alternative methods for studying rogue quantum gravitational waves and rogue gravitational waves.