A simple model for the dynamical Casimir effect for a static mirror with time-dependent properties

TL;DR

This paper models the dynamical Casimir effect using a static mirror with time-dependent boundary conditions, demonstrating particle creation from vacuum due to the Robin parameter's temporal variation.

Contribution

It introduces a simple model that simulates moving mirrors through time-dependent Robin boundary conditions, providing a new approach to study the dynamical Casimir effect.

Findings

Particles are generated from vacuum due to time-dependent Robin boundary conditions.

The model effectively simulates mirror motion without physical displacement.

The approach offers a simplified framework for analyzing the dynamical Casimir effect.

Abstract

We consider a real massless scalar field in 1+1 dimensions satisfying time-dependent Robin boundary condition at a static wall. This condition can simulate moving reflecting mirrors whose motions are determined by the time-dependence of the Robin parameter. We show that particles can be created from vacuum, characterizing in this way a dynamical Casimir effect.