Dynamical Casimir effect with Robin boundary conditions in a three dimensional open cavity

TL;DR

This paper investigates the dynamical Casimir effect in a 3D open cavity with Robin boundary conditions, analyzing particle creation due to oscillating boundaries and parametric resonance.

Contribution

It extends previous 1+1D models to 3+1D, providing new insights into particle creation with mixed boundary conditions in open cavities.

Findings

Particle creation depends on boundary conditions and oscillation parameters.

Generalization from 1+1D to 3+1D cavity configurations.

Quantitative estimates of particles generated during boundary oscillations.

Abstract

We consider a massless scalar field in 1+1 dimensions inside a cavity composed by a fixed plate, which imposes on the field a Robin BC, and an oscillating one, which imposes on the field a Dirichlet BC. Assuming that the plate moves for a finite time interval, and considering parametric resonance, we compute the total number of created particles inside the cavity. We generalize our results to the case of two parallel plates in 3+1 dimensions.