Creating synthetic spaces for higher-order topological sound transport

Hui Chen, Hongkuan Zhang, Qian Wu, Yu Huang, Huy Nguyen, Emil Prodan (), Xiaoming Zhou () and Guoliang Huang ()
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Hui Chen: University of Missouri
Hongkuan Zhang: Beijing Institute of Technology
Qian Wu: University of Missouri
Yu Huang: Beijing Institute of Technology
Huy Nguyen: University of Missouri
Emil Prodan: Yeshiva University
Xiaoming Zhou: Beijing Institute of Technology
Guoliang Huang: University of Missouri

Nature Communications, 2021, vol. 12, issue 1, 1-10

Abstract: Abstract Modern technological advances allow for the study of systems with additional synthetic dimensions. Higher-order topological insulators in topological states of matters have been pursued in lower physical dimensions by exploiting synthetic dimensions with phase transitions. While synthetic dimensions can be rendered in the photonics and cold atomic gases, little to no work has been succeeded in acoustics because acoustic wave-guides cannot be weakly coupled in a continuous fashion. Here, we formulate the theoretical principles and manufacture acoustic crystals composed of arrays of acoustic cavities strongly coupled through modulated channels to evidence one-dimensional (1D) and two-dimensional (2D) dynamic topological pumpings. In particular, the higher-order topological edge-bulk-edge and corner-bulk-corner transport are physically illustrated in finite-sized acoustic structures. We delineate the generated 2D and four-dimensional (4D) quantum Hall effects by calculating first and second Chern numbers and physically demonstrate robustness against the geometrical imperfections. Synthetic dimensions could provide a powerful way for acoustic topological wave steering and open up a platform to explore any continuous orbit in higher-order topological matter in dimensions four and higher.

Date: 2021
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DOI: 10.1038/s41467-021-25305-z

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