Synthetic dimensions in integrated photonics: From optical isolation to four-dimensional quantum Hall physics

By T. Ozawa, H. Price, Nathan Goldman, Oded Zilberberg, I. Carusotto. 2015

293 citations recorded by the source corpus.

Recent technological advances in integrated photonics have spurred on the study of topological phenomena in engineered bosonic systems. Indeed, the controllability of silicon ring-resonator arrays has opened up new perspectives for building lattices for photons with topologically nontrivial bands and integrating them into photonic devices for practical applications. Here, we push these developments even further by exploiting the different modes of a silicon ring resonator as an extra dimension for photons. Tunneling along this synthetic dimension is implemented via an external time-dependent modulation that allows for the generation of engineered gauge fields. We show how this approach can be used to generate a variety of exciting topological phenomena in integrated photonics, ranging from a topologically-robust optical isolator in a spatially one-dimensional (1D) ring-resonator chain to a driven-dissipative analog of the 4D quantum Hall effect in a spatially 3D resonator lattice. Our proposal paves the way towards the use of topological effects in the design of novel photonic lattices supporting many frequency channels and displaying higher connectivities.

Subfields: Atomic and Molecular Physics, and Optics, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/565db433ef018d2520ca9df49d69bf2507b20e95

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In Atomic and Molecular Physics, and Optics

In Electrical and Electronic Engineering

Citations in the corpus

Topological photonics (2018, methodology): “Ozawa et al. (2016) and Yuan, Shi, and Fan (2016) have proposed to use different frequency modes of a multimode ring resonator, coupled via external modulation of refractive index, as a synthetic dimension.”
Topological Photonic Crystals: Physics, Designs, and Applications (2022, background): “Up to now, topological phenomena have been proposed and realized in diverse photonic systems, including photonic crystals (PCs) [16-25], plasmonic systems [18-29], metamaterials [30-42], coupled resonator optical waveguides [43-53], waveguide arrays [54-66], microcavity polaritonic systems [67-74], ”
Topological frequency conversion in strongly driven quantum systems (2016, methodology): “This exact logic was used to make an array of optical oscillators into a 1D Thouless pump [24] and an array of two-dimensional (2D) oscillators into possessing Weyl points [25], and it even led to proposals for creating four-dimensional (4D) Hall phases using driven three-dimensional (3D) arrays of ”
Roadmap on topological photonics (2022, unknown): “Coming to the new era, we have witnessed an explosive search in novel topological materials, which followed the line from the one-dimensional (1D) Su–Schrieffer–Heeger (SSH) chain, to the two-dimensional (2D) QHE and quantum spin Hall effect (or 2D topological insulators), and lately moved to the cl”
Artificial gauge fields in materials and engineered systems (2017, unknown): “The concept of synthetic dimensions was also introduced for photonic systems using orbital angular momentum states [235], higher modes in an optical ring-resonator array [236,237] and optomechanical systems [238].”
Integrated electro-optics on thin-film lithium niobate (2024, unknown): “These attributes have enabled the exploration of non-Hermitian 112,113 , high-dimensional 14,114 , and topological systems 115–119 , to name some examples, as well as Moire lattices 120 , which can be challenging to study using other methodologies.”