Ephraim Shahmoon, Gershon Kurizki
We consider resonant dipole-dipole interactions between atomic dipoles placed in a waveguide. We find that when the resonant frequency of the dipoles is below the waveguide's cutoff, nonradiative interaction and entanglement at distances much larger than their resonant wavelength are possible. This interaction, mediated by virtual photons, is coherent and deterministic, in contrast to the probabilistic radiative interaction. The range of the interaction increases as the dipole-resonance approaches the cutoff frequency, a regime where the standard Markov approximation fails. We provide analytical theories for both the Markovian and non-Markovian regimes, supported by numerical simulations, and discuss possible experimental realizations.
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http://arxiv.org/abs/1205.3064
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