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Topological photonics

Reviews of Modern Physics · 2019 · Vol. 91(1)
Tomoki OzawaHannah M. PriceA. AmoNathan GoldmanMohammad HafeziLing LüMikael C. RechtsmanDavid SchusterJonathan SimonOded ZilberbergIacopo Carusotto

Abstract

The robustness of the integer quantum Hall effect of electron systems is due to the existence of a topological invariant that characterizes the variation of the electron wave function over the Brillouin zone. Topological phenomena are generic features of waves in periodic media, and this article reviews how photonic systems such as waveguide arrays and photonic metamaterials allow exploration and application of topological effects in new physical regimes and in new devices.

Neural Networks and Reservoir ComputingPhotonic and Optical DevicesTopological Materials and PhenomenaPhysicsPhotonicsTopology (electrical circuits)Theoretical physicsQuantum mechanicsCombinatorics

Funding

  • National Science Foundation
  • David and Lucile Packard Foundation
  • U.S. Department of Energy
  • Alfred P. Sloan Foundation
  • Pittsburgh Foundation
  • Charles E. Kaufman Foundation
  • Joint Quantum Institute
  • Royal Society
  • Agence Nationale de la Recherche
  • Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
  • National Natural Science Foundation of China
  • Fonds De La Recherche Scientifique - FNRS
  • Provincia Autonoma di Trento
  • Multidisciplinary University Research Initiative
  • RIKEN
  • Office of Naval Research
  • Division of Materials Research
  • Division of Mathematical Sciences
  • Division of Electrical, Communications and Cyber Systems
  • Air Force Office of Scientific Research
  • Army Research Office
  • H2020 European Research Council
  • H2020 Future and Emerging Technologies
Citations
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References
Spin–orbit interactions of light
Nature Photonics · 2015 · 2,138 citations
Topological field theory of time-reversal invariant insulators
Physical Review B · 2008 · 3,269 citations
Observation of parity–time symmetry in optics
Nature Physics · 2010 · 3,524 citations
Quantized Hall conductivity in two dimensions
Physical review. B, Condensed matter · 1981 · 2,443 citations
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