Preprint
Machine Learning

Topological photonics

Tomoki Ozawa(Université Libre de Bruxelles), Hannah M. Price(Université Libre de Bruxelles), A. Amo(Université Libre de Bruxelles), Nathan Goldman(Université Libre de Bruxelles), Mohammad Hafezi(Université Libre de Bruxelles), Ling Lü(Université Libre de Bruxelles), Mikael C. Rechtsman(Université Libre de Bruxelles), David Schuster(Université Libre de Bruxelles), Jonathan Simon(Université Libre de Bruxelles), Oded Zilberberg(Université Libre de Bruxelles), Iacopo Carusotto(Université Libre de Bruxelles)
March 25, 2019Reviews of Modern Physics3,646 citations

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Influential Citations

Reviews of Modern Physics

Venue

2019

Year

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.

Analysis

Why This Paper Matters

This review, published in Reviews of Modern Physics, is a seminal reference in the field of topological photonics. It bridges condensed matter physics and photonics by showing that topological invariants—originally discovered in the quantum Hall effect—can be realized in classical wave systems. The paper's significance lies in its comprehensive synthesis of theoretical concepts and experimental demonstrations, making it an essential resource for researchers seeking to understand and apply topological protection to light. By highlighting platforms like waveguide arrays and metamaterials, it opens avenues for robust light transport immune to scattering and fabrication imperfections.

Technical Contributions

The paper's key innovations include:

  • Unified framework: Extending topological band theory (Chern numbers, Berry curvature) to photonic systems.
  • Experimental platforms: Reviewing coupled waveguide arrays, photonic crystals, and ring resonators that realize topological edge states.
  • New regimes: Discussing nonlinear, non-Hermitian, and Floquet topological photonics, expanding beyond static Hermitian systems.
  • Device concepts: Proposing topological lasers, delay lines, and quantum simulators based on photonic topology.

Results

As a review, the paper does not present new experimental results but aggregates key findings: robust edge state propagation in Su-Schrieffer-Heeger arrays, observation of photonic anomalous Floquet topological insulators, and demonstration of topological protection in silicon photonic crystals. These results show near-unity transmission through sharp bends and disorder resilience, with propagation losses comparable to conventional waveguides.

Significance

This review has profoundly impacted the AI and photonics communities by establishing topological photonics as a vibrant research field. It has inspired new directions in robust optical interconnects for neuromorphic computing, topological quantum optics, and integrated photonic circuits. For AI practitioners, the concepts of topological protection offer a pathway to more reliable and scalable photonic hardware for machine learning accelerators.