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arXiv · 1305.2488

QED with a parabolic mirror

G. Alber·J. Z. Bernád·M. Stobińska·L. L. Sánchez-Soto·G. Leuchs
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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.

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G. Alber, J. Z. Bernád, M. Stobińska, L. L. Sánchez-Soto, G. Leuchs. 2013-08-15. QED with a parabolic mirror. https://doi.org/10.1103/physreva.88.023825

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