Topological phase transitions and Thouless pumping of light in photonic waveguide arrays

By Yongguan Ke, Xizhou Qin, F. Mei, Honghua Zhong, Yuri Kivshar, Chaohong Lee. 2016

135 citations recorded by the source corpus.

Photonic waveguide arrays provide an excellent platform for simulating conventional topological systems, and they can also be employed for the study of novel topological phases in photonics systems. However, a direct measurement of bulk topological invariants remains a great challenge. Here we study topological features of generalized commensurate Aubry‐André‐Harper (AAH) photonic waveguide arrays and construct a topological phase diagram by calculating all bulk Chern numbers, and then explore the bulk‐edge correspondence by analyzing the topological edge states and their winding numbers. In contrast to incommensurate AAH models, diagonal and off‐diagonal commensurate AAH models are not topologically equivalent. In particular, there appear nontrivial topological phases with large Chern numbers and topological phase transitions. By implementing Thouless pumping of light in photonic waveguide arrays, we propose a simple scheme to measure the bulk Chern numbers.

View Paper: https://www.semanticscholar.org/paper/68fc6d750cb9a12e2f8859d1546399484276b8ba

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Citations in the corpus

• Topological photonics (2018, background): “Similar to the aforementioned cold-atom experiments (Lohse et al., 2016; Nakajima et al., 2016) theoretical proposals have addressed the possibility of studying quantized bulk pumping in photonic systems (Mei et al., 2015; Ke et al., 2016).”