@article{16585f2776804923864f92cba948460f,
title = "Atom-atom interactions around the band edge of a photonic crystal waveguide",
abstract = "Tailoring the interactions between quantum emitters and single photons constitutes one of the cornerstones of quantum optics. Coupling a quantum emitter to the band edge of a photonic crystal waveguide (PCW) provides a unique platform for tuning these interactions. In particular, the cross-over from propagating fields E(x) ∝ e±ikxx outside the bandgap to localized fields E(x) ∝ e-κx|x| within the bandgap should be accompanied by a transition from largely dissipative atom-atom interactions to a regime where dispersive atom-atom interactions are dominant. Here, we experimentally observe this transition by shifting the band edge frequency of the PCW relative to the D1 line of atomic cesium for {\=N} = 3.0 ± 0.5 atoms trapped along the PCW. Our results are the initial demonstration of this paradigm for coherent atom-atom interactions with low dissipation into the guided mode.",
keywords = "Atomic physics, Nanophotonics, Quantum optics",
author = "Hood, {Jonathan D.} and Akihisa Goban and Ana Asenjo-Garcia and Mingwu Lu and Yu, {Su Peng} and Chang, {Darrick E.} and Kimble, {H. J.}",
note = "Funding Information: We acknowledge the contributions of O. J. Painter and his group, including for fabrication and clean room facilities. We also acknowledge A. Burgers, C.-L. Hung, J. Laurat, M. J. Martin, A. C. McClung, J. A. Muniz, and L. Peng. Funding was provided by National Science Foundation (NSF) Grant PHY 1205729; by the Air Force Office of Scientific Research Multidisciplinary University Research Initiative (MURI) for Quantum Memories in Photon-Atomic Solid-State Systems (QuMPASS); by the Institute for Quantum Information and Matter (IQIM), NSF Physics Frontiers Center with support of the Moore Foundation; by the Office of Naval Research (ONR) Award N00014-16-1-2399; by the ONR MURI for Quantum Opto-Mechanics with Atoms and Nanostructured Diamond (QOMAND); and by the Department of Defense National Security Science and Engineering Faculty Fellowship (NSSEFF) Program. A.G. was supported by the Nakajima Foundation. A.A.-G. and M.L. were supported by the IQIM Postdoctoral Fellowship. A.A.-G. also acknowledges support from Global Marie Curie Fellowship LANTERN 655701. S.-P.Y. acknowledges support from the International Fulbright Science and Technology Award. D.E.C. acknowledges support from Fundacio Privada Cellex Barcelona, Marie Curie CIG ATOMNANO, MINECO Severo Ochoa Grant SEV-2015-0522, and ERC Starting Grant FoQAL. Publisher Copyright: {\textcopyright} 2016, National Academy of Sciences. All rights reserved.",
year = "2016",
month = sep,
day = "20",
doi = "10.1073/pnas.1603788113",
language = "English",
volume = "113",
pages = "10507--10512",
journal = "Proceedings of the National Academy of Sciences of the United States of America",
issn = "0027-8424",
publisher = "National Academy of Sciences",
number = "38",
}