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Non-Hermitian topological coupler for elastic waves

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Abstract

Non-Hermitian topological systems, by combining the advantages of topological robustness and sensitivity induced by non-Hermiticity, have recently emerged and attracted much research interest. Here, we propose a device based on the topological coupler in elastic waves with non-Hermiticity, which contains two topological domain walls and four ports. In this device, topological robustness routes the transmission of waves, while non-Hermiticity controls the gain or loss of waves as they propagate. These mechanisms result in continuous and quantitative control of the energy distribution ratio of each port. A non-Hermitian Hamiltonian is introduced to reveal the coupling mechanism of the topological coupler, and a scattering matrix is proposed to predict the energy distribution ratio of each port. The proposed topological coupler, which provides a new paradigm for the non-Hermitian topological systems, can be employed as a sensitive beam splitter or a coupler switch. Moreover, the topological coupler has potential applications in information processing and logic operation in elastic circuits or networks, and the paradigm also applies to other classical systems.

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Authors and Affiliations

  1. Institute of Microscale Optoelectronics, Shenzhen University, Shenzhen, 518060, China

    Yan Meng & Zixian Liang

  2. Department of Physics, The Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong, 999077, China

    Yan Meng, Yaxi Shen, Dong Liu & Jensen Li

  3. Faculties of Sciences and Engineering, The University of Hong Kong, Hong Kong, 999077, China

    Xiaoxiao Wu & Xiang Zhang

Authors
  1. Yan Meng
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  2. Xiaoxiao Wu
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  4. Dong Liu
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  5. Zixian Liang
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  6. Xiang Zhang
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  7. Jensen Li
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Corresponding authors

Correspondence to Xiang Zhang or Jensen Li.

Additional information

This work was supported by the Research Grants Council of Hong Kong (Grant Nos. 16302218, and C6013-18G), and the Croucher Foundation. Z. Liang acknowledges the financial support by the National Natural Science Foundation of China (Grant Nos. 11574216, and 61505114).

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Meng, Y., Wu, X., Shen, Y. et al. Non-Hermitian topological coupler for elastic waves. Sci. China Phys. Mech. Astron. 65, 224611 (2022). https://doi.org/10.1007/s11433-021-1785-y

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