Relativistic bands in the spectrum of created particles via dynamical Casimir effect

TL;DR

This paper develops an analytical method to study relativistic effects in the dynamical Casimir effect within circuit QED, revealing additional frequency bands in the spectrum of created particles due to relativistic corrections.

Contribution

It introduces a general analytical approach to incorporate relativistic corrections in the dynamical Casimir effect, applicable to various systems with time-dependent parameters.

Findings

Identification of relativistic frequency bands in the DCE spectrum.

Analytical framework applicable to higher dimensions and different fields.

Insights into spectral modifications due to relativistic effects.

Abstract

We present a general analytical approach to investigate relativistic corrections in the dynamical Casimir effect (DCE). Particularly, we discuss the behavior of the additional frequency bands that appear in the spectral distribution of the created particles when the first relativistic corrections are taken into account. We do that in the context of circuit QED, by analyzing the setup used in the first measurement of the DCE, where a system with a time-dependent boundary condition simulates the mechanical motion of a single mirror in 1+1 dimensions. Our method is applicable to a large class of systems with oscillatory time-dependent parameters and can be generalized to higher dimensions and other fields.