English

Noise and dissipation on a moving mirror induced by the dynamical Casimir emission

Quantum Physics 2023-12-05 v1

Abstract

We adopt an open quantum system approach to study the effects of the back-reaction from a quantum field onto the dynamics of a moving mirror. We describe the coupling between the mirror and the field by using a microscopic model from which the dielectric response of the mirror is obtained from first principles. Using second-order perturbation theory, we derive the master equation governing the mechanical motion of the mirror. Our analysis reveals that the mirror experiences coloured noise and non-local dissipation, which originate from the emission of particle pairs via the dynamical Casimir effect. We show that the noise and dissipation kernels, that enter in the definition of the time-dependent coefficients of the master equation, are related by fluctuation-dissipation relations.

Keywords

Cite

@article{arxiv.2306.03813,
  title  = {Noise and dissipation on a moving mirror induced by the dynamical Casimir emission},
  author = {Salvatore Butera},
  journal= {arXiv preprint arXiv:2306.03813},
  year   = {2023}
}

Comments

16 pages, 2 figures. Submitted to Journal of Physics: Photonics, as part of Emerging Leaders 2023 Collection