Light and Airy: a simple solution for relativistic quantum acceleration radiation

TL;DR

This paper presents an analytically solvable model of quantum radiation from an ultra-relativistic mirror, revealing an Airy spectral distribution and insights into energy flux and entanglement entropy in relativistic quantum acceleration.

Contribution

It introduces a new exactly solvable model for particle production by a relativistically moving mirror with an Airy spectral distribution, advancing understanding of quantum radiation in relativistic settings.

Findings

Analytical solution for particle creation over time

Discovery of Airy spectral distribution in emitted radiation

Insights into negative energy flux and entanglement entropy

Abstract

We study the quantum radiation of particle production by vacuum from an ultra-relativistic moving mirror (dynamical Casimir effect) solution that allows (possibly for the first time) analytically calculable time evolution of particle creation and an Airy particle spectral distribution. The reality of the beta Bogoliubov coefficients is responsible for the simplicity, and the mirror is asymptotically inertial at the speed of light, with finite energy production. We also discuss general relations regarding negative energy flux, the transformation to the 1-D Schr{\"o}dinger equation, and the incompleteness of entanglement entropy.