Multipole Approach to the Dynamical Casimir Effect with Finite-Size Scatterers

Entropy (Basel). 2024 Mar 12;26(3):251. doi: 10.3390/e26030251.

Abstract

A mirror subjected to a fast mechanical oscillation emits photons out of the quantum vacuum-a phenomenon known as the dynamical Casimir effect (DCE). The mirror is usually treated as an infinite metallic surface. Here, we show that, in realistic experimental conditions (mirror size and oscillation frequency), this assumption is inadequate and drastically overestimates the DCE radiation. Taking the opposite limit, we use instead the dipolar approximation to obtain a simpler and more realistic treatment of DCE for macroscopic bodies. Our approach is inspired by a microscopic theory of DCE, which is extended to the macroscopic realm by a suitable effective Hamiltonian description of moving anisotropic scatterers. We illustrate the benefits of our approach by considering the DCE from macroscopic bodies of different geometries.

Keywords: dynamical Casimir effect; effective hamiltonians; multipolar expansion.

Grants and funding

This research was funded by the Brazilian agencies CNPq and CAPES. F.I. and P.A.M.N. were supported by the Research Foundation of the State of Rio de Janeiro FAPERJ (210.296/2019 and 201.126/2021). F.I. was also partially supported by INCT-IQ (465469/2014-0). P.A.M.N. also acknowledges funding from the Instituto Nacional de Ciência e Tecnologia Fluidos Complexos (INCT-FCx), and the Research Foundation of the State of São Paulo (FAPESP).