Eigenstates of the Atom-Field Interaction and the Binding of Light in Photonic Crystals

Details Eigenstates of the Atom-Field Interaction and the Binding of Light in Photonic Crystals Eigenstates of the Atom-Field Interaction and the Binding of Light in Photonic Crystals

1997-06-21

arxiv.org/abs/hep-th/9706150v2

Annals Phys. 271 (1999) 268

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, one figure

Scientific paper

10.1006/aphy.1998.5874

We solve for the exact atom-field eigenstates of a single atom in a three dimensional spherical cavity, by mapping the problem onto the anisotropic Kondo model. The spectrum has a rich bound state structure in comparison with models where the rotating wave approximation is made. It is shown how to obtain the Jaynes-Cummings model states in the limit of weak coupling. Non-perturbative Lamb shifts and decay rates are computed. The massive Kondo model is introduced to model light localization in the form of photon-atom bound states in photonic crystals.

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