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  • Letter
  • Open Access

Exact analog of the Hatano-Nelson model in one-dimensional continuous nonreciprocal systems

A. Maddi, Y. Auregan, G. Penelet, V. Pagneux, and V. Achilleos

  • Laboratoire d'Acoustique de l'Université du Mans (LAUM), UMR 6613, Institut d'Acoustique - Graduate School (IA-GS), CNRS, Le Mans Université, Le Mans, France

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Phys. Rev. Research 6, L012061 – Published 15 March, 2024

DOI: https://doi.org/10.1103/PhysRevResearch.6.L012061

Abstract

Non-Hermitian topology offers a promising avenue toward an enhanced control of waves, and many of the underlying interesting phenomena are studied through the paradigmatic Hatano-Nelson (HN) model, which remains unexplored in continuous wave systems. Herein, we propose a framework to map one-dimensional continuous nonreciprocal systems onto the HN model. Our approach, based on the properties of transfer matrices, is applicable across various physical domains. We experimentally apply our method in audible acoustics using active elements, where we not only observe the predicted skin effect but also access the spectrum topology using stable configurations and observe its subsequent boundary sensitivity. By establishing a connection between continuous wave systems and the discrete HN model, our results significantly broaden the potential application of nonreciprocal topological phenomena.

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Phys. Rev. Research 6, L012061– Published 15 March, 2024
  • Received 27 August 2023
  • Revised 24 October 2023
  • Accepted 13 November 2023
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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