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Journal Article

QED with a parabolic mirror

MPS-Authors
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Stobinska,  M.
Optics Theory Group, Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;

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Sanchez-Soto,  L. L.
Guests, Max Planck Institute for the Science of Light, Max Planck Society;

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Leuchs,  G.
Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;

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Citation

Alber, G., Bernad, J. Z., Stobinska, M., Sanchez-Soto, L. L., & Leuchs, G. (2013). QED with a parabolic mirror. PHYSICAL REVIEW A, 88(2): 023825. doi:10.1103/PhysRevA.88.023825.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-6727-6
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.