Interference phenomena in the asymmetric dynamical Casimir effect for a single $\delta-\delta^{\prime}$ mirror

TL;DR

This paper investigates how a moving asymmetric boundary, modeled as a $ ext{delta}- ext{delta'}$ mirror, influences particle creation via the dynamical Casimir effect, revealing interference effects and spectral asymmetries.

Contribution

It introduces a detailed analysis of interference phenomena and spectral asymmetry in the dynamical Casimir effect for a $ ext{delta}- ext{delta'}$ mirror with time-dependent properties.

Findings

Interference terms significantly affect the particle spectrum.

Asymmetry causes differences in particle production on either side.

Multiple fluctuation sources can enhance spectral asymmetry.

Abstract

The interaction between the quantum vacuum and time-dependent boundaries can produce particles via the dynamical Casimir effect. It is known that, for asymmetric Casimir systems, there is an imbalance in the particle production on either side of the boundary. Here, we consider a real massless scalar field in 1+1 dimensions interacting with a moving $\delta-\delta^{\prime}$ mirror with time-dependent properties. The spectral distribution and particle creation rate are computed, which now include an additional interference term that can affect different parts of the spectrum in a constructive or destructive manner. The asymmetry of the system is investigated by analyzing the difference in particle spectra produced on the two sides of the mirror. Additionally, we also explore enhancement of the spectrum and its asymmetry within the context of a stationary $\delta-\delta^{\prime}$ mirror subject to multiple fluctuation sources.