# Dynamical Casimir effect for semitransparent mirrors

## TL;DR

This paper investigates the particle creation caused by oscillating semitransparent mirrors in the dynamical Casimir effect, highlighting the significance of relativistic motion and interference effects in two-mirror setups.

## Contribution

It provides a perturbative analysis of the dynamical Casimir effect for semitransparent mirrors, including relativistic motions and interference effects, extending previous models with non-small oscillation amplitudes.

## Key findings

- Relativistic motions significantly enhance particle creation.
- Interference effects between two mirrors can alter particle production.
- Results differ from small-amplitude assumptions even at non-relativistic speeds.

## Abstract

We study the Dynamical Casimir Effect resulting from the oscillatory motion of either one or two flat semitransparent mirrors, coupled to a quantum real and massless scalar field. Our approach is based on a perturbative evaluation, in the coupling between mirrors and field, of the corresponding effective action, which is used to compute the particle creation rate. The amplitude of the oscillation is not necessarily small. We first obtain results for a single mirror, both for non-relativistic and relativistic motions, showing that only for the latter the effects may be significant. For two mirrors, on the other hand, we show that there are interesting interference effects, and that in some particular cases the results differ from those obtained assuming small amplitudes, already for non-relativistic motions.