Spectral properties of spontaneous photon emission by a material twolevel system in a parabolic cavity
https://doi.org/10.17586/22208054201785559566
Abstract
The spectral properties of a photon spontaneously emitted by a material twolevel system, modelling an atom or ion, in a parabolic cavity are investigated. In particular, we concentrate on the special case of a motionless twolevel system positioned exactly at the focus of a parabolic cavity with a dipole moment oriented along the symmetry axis of this cavity. Treating the corresponding atomfield coupling in the dipoleand rotating wave approximation, it is demonstrated that inside the parabolic cavity the position and frequency dependence of the spectrum of the spontaneously emitted photon exhibits interesting interference patterns. These patterns are explored in detail with the help of a photon path representation of the firstorder electric field correlation function. In the radiation, zone the spatial behavior of the spectrum reveals strong interference in particular at distances from the twolevel system of the order of the focal length of the parabola. With increasing distances, these interference patterns decay except for an undepleted component surrounding the symmetry axis at an almost constant radius. Furthermore, the maximum of the frequency dependence of the spectrum exhibits a positiondependent frequency shift with respect to the atomic resonance frequency.
Supporting agencies: This work is supported by the Heisenberg–Landau Program (JINR, Russia).
About the Authors
G. Alber
Institut f¨ur Angewandte Physik, Technische Universit¨at Darmstadt
Germany
Germany
Darmstadt, 64289
A. V. Chizhov
Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research; Dubna State University, Universitetskaya
Russian Federation
Russian Federation
JoliotCurie, 6, Dubna, 141980
Universitetskaya, 19, Dubna, 141980
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Review
For citations:
Alber G., Chizhov A.V. Spectral properties of spontaneous photon emission by a material twolevel system in a parabolic cavity. Nanosystems: Physics, Chemistry, Mathematics. 2017;8(5):559–566. https://doi.org/10.17586/22208054201785559566
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