Nonradiative interaction and entanglement between distant atoms

TL;DR

This paper demonstrates that nonradiative interactions mediated by a waveguide can generate long-range entanglement between distant atoms, especially near the waveguide's cutoff frequency where photon mode density is high.

Contribution

It introduces analytical models for both Markovian and non-Markovian regimes of atom-waveguide interactions, highlighting entanglement at large distances beyond traditional limits.

Findings

Entanglement range increases near waveguide cutoff frequency.

Analytical models match numerical simulations.

Potential for experimental realization of long-distance entanglement.

Abstract

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.