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Published September 20, 2016 | Accepted Version + Published + Supplemental Material
Journal Article Open

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 ±^(ik_xx) outside the bandgap to localized fields E(x)∝e^(−κ_x|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 D_1 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.

Additional Information

© 2016 National Academy of Sciences. Freely available online through the PNAS open access option. Contributed by H. Jeffrey Kimble, June 17, 2016 (sent for review March 7, 2016; reviewed by Eugene Polzik and Dan Stamper-Kurn). Published online before print August 31, 2016. We gratefully acknowledge discussions with T. Shi and Y. Wu. The work of C.-L.H. and H.J.K. was funded by the Institute for Quantum Information and Matter, a National Science Foundation (NSF) Physics Frontier Center with support of the Moore Foundation; by the Air Force Office of Scientific Research (AFOSR) Quantum Memories in Photon-Atomic Solid-State Systems Multidisciplinary Research Program of the University Research Initiative (MURI); by the Department of Defense National Security Science and Engineering Faculty Fellowship Program; by NSF Grant PHY1205729; by the Office of Naval Research (ONR) Award N00014-16-1-2399; and by the ONR Quantum Opto-Mechanics with Atoms and Nanostructured Diamond MURI. A.G.-T. and J.I.C. acknowledge funding by the European Union integrated project "Simulators and Interfaces with Quantum Systems." A.G.-T. also acknowledges support from Alexander Von Humboldt Foundation and Intra-European Marie Curie Fellowship Nanophotonics for Quantum Information and Simulation (625955). Author contributions: C.-L.H. developed concept and analytical calculations; C.-L.H., A.G.-T., J.I.C., and H.J.K. performed research; C.-L.H., A.G.-T., J.I.C., and H.J.K. contributed materials; A.G.-T. performed analytical and numerical analysis; and C.-L.H., A.G.-T., and H.J.K. wrote the paper. C.-L.H. and A.G.-T. contributed equally to this work. Reviewers: N.G., Université libre de Bruxelles; and A.M.R., JILA, University of Colorado. The authors declare no conflict of interest. This article contains supporting information online at www.pnas.org/lookup/suppl/doi:10.1073/pnas.1603777113/-/DCSupplemental.

Attached Files

Published - PNAS-2016-Hood-10507-12.pdf

Accepted Version - 1603.02771.pdf

Supplemental Material - pnas.201603788SI.pdf

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Additional details

Created:
August 22, 2023
Modified:
October 20, 2023