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arXiv · 1601.04013

Super-Coulombic atom-atom interactions in hyperbolic media

Cristian L. Cortes·Zubin Jacob
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Abstract

Dipole-dipole interactions which govern phenomena like cooperative Lamb shifts, superradiant decay rates, Van der Waals forces, as well as resonance energy transfer rates are conventionally limited to the Coulombic near-field. Here, we reveal a class of real-photon and virtual-photon long-range quantum electrodynamic (QED) interactions that have a singularity in media with hyperbolic dispersion. The singularity in the dipole-dipole coupling, referred to as a Super-Coulombic interaction, is a result of an effective interaction distance that goes to zero in the ideal limit irrespective of the physical distance. We investigate the entire landscape of atom-atom interactions in hyperbolic media and propose practical implementations with phonon-polaritonic hexagonal boron nitride in the infrared spectral range and plasmonic super-lattice structures in the visible range. Our work paves the way for the control of cold atoms in hyperbolic media and the study of many-body atomic states where optical phonons mediate quantum interactions.

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Cristian L. Cortes, Zubin Jacob. 2016-01-15. Super-Coulombic atom-atom interactions in hyperbolic media. https://doi.org/10.1038/ncomms14144

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