Nonradiative interaction and entanglement between distant atoms

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.Comment: 9 pages, 2 figure

Atom–light interactions in photonic crystals

“…Further improvements to the APCW include active tuning of the band edge to near an atomic resonance to achieve an increase \50-fold in G 1D 41,47 , although we are mindful of challenges presented by disorder-induced localization 48,49 . Other opportunities could be tuning to place the atomic resonance within the band gap to induce long-range atom-atom interactions 4,[16][17][18] . By optimizing the power and detuning of the E 1 trap mode, we should be able to achieve stable atomic trapping and ground state cooling 41,50,51 .…”

“…By optimizing the power and detuning of the E 1 trap mode, we should be able to achieve stable atomic trapping and ground state cooling 41,50,51 . By applying continuous on-site cooling to Nc1 atoms, we expect to create a 1D atomic lattice with single atoms trapped in unit cells along the APCW, thus opening new opportunities for studying novel quantum transport and many-body phenomena [5][6][7][8][9][10][11][12][13][14][15][16][17][18] .…”

“…L ocalizing arrays of atoms in photonic crystal waveguides (PCW) with strong atom-photon interactions could provide new tools for quantum networks [1][2][3] and enable explorations of quantum many-body physics with engineered atom-photon interactions [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19] . Bringing these scientific possibilities to fruition requires creation of an interdisciplinary 'toolkit' from atomic physics, quantum optics and nanophotonics for the control, manipulation and interaction of atoms and photons with a complexity and scalability not currently possible.…”

“…Even more remarkable phenomena in PCWs arise when atomic frequencies can be tuned into photonic band gaps, including the ability to control the range, strength and functional form of optical interactions between atoms 4,[16][17][18] . For example, atoms trapped near otherwise perfect photonic crystal structures can act as dielectric defects that seed atom-induced cavities 18 and thereby allow atomic excitations to be exchanged with proximal atoms 16 .…”

“…For example, atoms trapped near otherwise perfect photonic crystal structures can act as dielectric defects that seed atom-induced cavities 18 and thereby allow atomic excitations to be exchanged with proximal atoms 16 . The atom-induced cavities can be dynamically controlled with external lasers enabling the realization of nearly arbitrary long-range spin Hamiltonians and spatial interactions (such as an effective Coulomb potential mediated by PCW photons) 18 , providing a novel tool for quantum simulation with cold atoms.…”