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Existence and characterization of edge states in an acoustic trimer Su-Schrieffer-Heeger model
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We report on a direct mapping of acoustic slender waveguides to the one dimensional trimer Su- Schrieffer-Heeger model, with neither chiral nor mirror symmetry. Importantly, we can choose to perform this mapping for either the acoustic velocity or pressure. We demonstrate that, for finite systems, this choice is necessarily linked to the boundary conditions. It allows for the unveiling of the edge states of the acoustic system through an edge state phase diagram. An experimental realization of our setup in the audible regime corroborates our theoretical predictions.
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Isospectral reduction of the SSH3 lattice and its bulk-edge correspondence
An isospectral reduction of the SSH3 lattice to a two-site energy-dependent model yields a winding-number bulk-edge correspondence, verified acoustically.
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