  We show that nonradiative interactions between atomic dipoles placed in a
waveguide can give rise to deterministic entanglement at ranges much larger
than their resonant wavelength. The range increases as the dipole-resonance
approaches the waveguide's cutoff frequency, caused by the giant density of
photon modes near cutoff, a regime where the standard (perturbative) Markov
approximation fails. We provide analytical theories for both the Markovian and
non-Markovian regimes, supported by numerical simulations, and discuss possible
experimental realizations.
