Topological Phenomena in Classical Optical Networks
- Creators
- Shi, T.
- Kimble, H. J.
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Cirac, J. I.
Abstract
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.
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 www.pnas.org/lookup/suppl/doi:10.1073/pnas.1708944114/-/DCSupplemental.Attached Files
Published - PNAS-2017-Shi-E8967-76.pdf
Submitted - 1603.03266.pdf
Supplemental Material - pnas.201708944SI.pdf
Files
Additional details
- PMCID
- PMC5663385
- Eprint ID
- 77373
- DOI
- 10.1073/pnas.1708944114
- Resolver ID
- CaltechAUTHORS:20170511-122552160
- European Union
- Max Planck Institute for Quantum Optics
- Air Force Office of Scientific Research (AFOSR)
- Office of Naval Research (ONR)
- N00014-16-1-2399
- NSF
- PHY-1205729
- Institute of Quantum Information and Matter (IQIM)
- Created
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2017-05-11Created from EPrint's datestamp field
- Updated
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2022-03-22Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter