Analog Hawking radiation emitted by a perfectly reflecting mirror

TL;DR

This paper investigates analog Hawking radiation emitted by a perfectly reflecting mirror in flat spacetime, analyzing the reflected frequency and momentum to estimate photon yield in a proposed laser experiment.

Contribution

It introduces a novel approach using Einstein's mirror to study analog Hawking radiation, differing from traditional wave equation methods, and estimates photon yield for experimental realization.

Findings

Diffraction patterns appear in the radiation spectrum for finite-size mirrors.

Estimated Hawking photon yield is approximately 16 photons per laser shot.

Hawking temperature in the proposed setup is about 0.03 eV.

Abstract

Analog Hawking radiation emitted by a perfectly reflecting mirror in (1+3)-dimensional flat spacetime is investigated. This is accomplished by studying the reflected frequency and momentum based on Einstein's mirror, instead of the canonical way of solving, if possible, wave equations subjected to a dynamical Dirichlet boundary condition. In the case of a finite-size mirror, diffraction pattern appears in the radiation spectrum. Based on the relevant parameters in the proposed Analog Black Hole Evaporation via Lasers experiment, in which the Hawking temperature $T_{H}\simeq 0.03$ eV and the mirror area $A\simeq (50\;\mu\mathrm{m})^{2}$, the Hawking photon yield is estimated to be $N\simeq 16$/laser shot.