Creating higher-order topological phases using synthetic dimensions in dynamically modulated ring resonators

Avik Dutt; Momchil Minkov; Ian A. D. Williamson; Shanhui Fan

doi:10.1117/12.2567834

20 August 2020 Creating higher-order topological phases using synthetic dimensions in dynamically modulated ring resonators

Avik Dutt, Momchil Minkov, Ian A. D. Williamson, Shanhui Fan

Author Affiliations +

Proceedings Volume 11461, Active Photonic Platforms XII; 114611D (2020) https://doi.org/10.1117/12.2567834
Event: SPIE Nanoscience + Engineering, 2020, Online Only

Abstract

Higher-order topological insulators (HOTIs), originating from quantized quadrupole and octupole moments, have attracted significant interest since they support boundary states that are two or more dimensions lower than their bulk. However, previous HOTIs have been restricted to real-space dimensions. Here we construct photonic HOTIs using synthetic dimensions, comprising frequency modes of dynamically modulated rings. We show how quadrupole and octupole HOTIs supporting topologically protected corner modes emerge in a lattice of modulated photonic molecules and predict a dynamical topological phase transition in this system. Additionally, we propose a quantized hexadecapole (16-pole) insulator by leveraging synthetic dimensions to create a 4D hypercubic lattice that cannot be realized in real space.

Conference Presentation

Citation Download Citation

Avik Dutt, Momchil Minkov, Ian A. D. Williamson, and Shanhui Fan "Creating higher-order topological phases using synthetic dimensions in dynamically modulated ring resonators", Proc. SPIE 11461, Active Photonic Platforms XII, 114611D (20 August 2020); https://doi.org/10.1117/12.2567834

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