QED with a parabolic mirror
Abstract
We investigate the quantum electrodynamics of a single two-level atom located at the focus of a parabolic cavity. We first work out the modifications of the spontaneous emission induced by the presence of this boundary in the optical regime, where the dipole and the rotating-wave approximations apply. Furthermore, the single-photon state that leaves the cavity asymptotically is determined. The corresponding time-reversed single-photon quantum state is capable of exciting the atom in this extreme multimode scenario with near-unit probability. Using semiclassical methods, we derive a photon-path representation for the relevant transition amplitudes and show that it constitutes a satisfactory approximation for a wide range of wavelengths.
Cite
@article{arxiv.1305.2488,
title = {QED with a parabolic mirror},
author = {G. Alber and J. Z. Bernád and M. Stobińska and L. L. Sánchez-Soto and G. Leuchs},
journal= {arXiv preprint arXiv:1305.2488},
year = {2013}
}
Comments
12 pages, 5 figures