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Topological Phenomena in Classical Optical Networks

Shi, T. and Kimble, H. J. and Cirac, J. I. (2017) Topological Phenomena in Classical Optical Networks. Proceedings of the National Academy of Sciences of the United States of America, 114 (43). E8967-E8976. ISSN 0027-8424. PMCID PMC5663385. doi:10.1073/pnas.1708944114.

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We propose a scheme to realize a topological insulator with optical-passive elements and analyze the effects of Kerr nonlinearities in its topological behavior. In the linear regime, our design gives rise to an optical spectrum with topological features and where the bandwidths and bandgaps are dramatically broadened. The resulting edge modes cover a very wide frequency range. We relate this behavior to the fact that the effective Hamiltonian describing the system’s amplitudes is long range. We also develop a method to analyze the scheme in the presence of a Kerr medium. We assess robustness and stability of the topological features and predict the presence of chiral squeezed fluctuations at the edges in some parameter regimes.

Item Type:Article
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URLURL TypeDescription Information Paper CentralArticle
Cirac, J. I.0000-0003-3359-1743
Additional Information:© 2017 the Author(s). Published by PNAS. This open access article is distributed under Creative Commons Attribution-NonCommercial-NoDerivatives License 4.0 (CC BY-NC-ND). Contributed by H. J. Kimble, September 13, 2017 (sent for review June 5, 2017; reviewed by Mohammad Hafezi and Mikael C. Rechtsman). Published ahead of print October 10, 2017. This work was funded by the European Union Integrated project SIQS. H.J.K. acknowledges support as a Max-Planck Institute for Quantum Optics Distinguished Scholar; as well as funding from the Air Force Office of Scientific Research Multidisciplinary University Research Initiative (MURI) Quantum Many-Body Physics with Photons; the Office of Naval Research (ONR) Award N00014-16-1-2399; the ONR Quantum Opto-Mechanics with Atoms and Nanostructured Diamond(QOMAND) MURI; National Science Foundation (NSF) Grant PHY-1205729; and the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center. Author contributions: T.S., H.J.K., and J.I.C. designed research; T.S., H.J.K., and J.I.C. performed research; T.S. contributed new reagents/analytic tools; T.S. analyzed data; and T.S., H.J.K., and J.I.C. wrote the paper.Reviewers: M.H., University of Maryland; and M.C.R., Pennsylvania State University. The authors declare no conflict of interest. This article contains supporting information online at
Group:Institute for Quantum Information and Matter
Funding AgencyGrant Number
Max Planck Institute for Quantum OpticsUNSPECIFIED
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Office of Naval Research (ONR)N00014-16-1-2399
Institute of Quantum Information and Matter (IQIM)UNSPECIFIED
Subject Keywords:topology; nonlinear; network; optical
Issue or Number:43
PubMed Central ID:PMC5663385
Record Number:CaltechAUTHORS:20170511-122552160
Persistent URL:
Official Citation:T. Shi, H. J. Kimble, and J. I. Cirac Topological phenomena in classical optical networks PNAS 2017 114 (43) E8967-E8976; published ahead of print October 10, 2017, doi:10.1073/pnas.1708944114
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77373
Deposited By: Joy Painter
Deposited On:11 May 2017 19:33
Last Modified:22 Mar 2022 18:09

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