Dynamical Casimir effect in Circuit QED for Nonuniform Trajectories

TL;DR

This paper explores how superconducting circuits can simulate the dynamical Casimir effect with boundaries following various relativistic trajectories, revealing how different motions produce distinct particle spectra.

Contribution

It generalizes previous circuit simulations by incorporating nonuniform relativistic boundary trajectories, enabling richer and more diverse dynamical Casimir effect studies.

Findings

Different relativistic trajectories produce unique particle spectra.

Non-sinusoidal boundary motions lead to varied dynamical Casimir effects.

Feasibility of simulating complex trajectories in circuit QED is demonstrated.

Abstract

We propose a generalization of the superconducting circuit simulation of the dynamical Casimir effect where we consider relativistically moving boundary conditions following different trajectories. We study the feasibility of the setup used in the past to simulate the dynamical Casimir effect to reproduce richer relativistic trajectories differing from purely sinusoidal ones. We show how different relativistic oscillatory trajectories of the boundaries of the same period and similar shape produce a rather different spectrum of particles characteristic of their respective motions.