{ "id": "2304.05748", "version": "v1", "published": "2023-04-12T10:05:02.000Z", "updated": "2023-04-12T10:05:02.000Z", "title": "Topological Monomodes in non-Hermitian Systems", "authors": [ "E. Slootman", "W. Cherifi", "L. Eek", "R. Arouca", "M. Bourennane", "C. Morais Smith" ], "comment": "16 pages, 12 figures, comments are welcome", "categories": [ "cond-mat.mes-hall", "physics.optics", "quant-ph" ], "abstract": "We show theoretically and experimentally the existence of topological monomodes in non-Hermitian systems created by loss engineering. This challenges the idea that edge states always come in pairs in $\\mathbb{Z}_2$ symmetry-protected topological systems. We theoretically show the existence of a monomode in a non-Hermitian 1D and 2D SSH models. Furthermore, we classify the systems in terms of the (non-Hermitian) symmetries that are present and calculate the corresponding topological invariant. To corroborate the theory, we present experiments in photonic lattices in which a monomode is observed in a non-Hermitian 1D SSH chain.", "revisions": [ { "version": "v1", "updated": "2023-04-12T10:05:02.000Z" } ], "analyses": { "keywords": [ "non-hermitian systems", "topological monomodes", "non-hermitian 1d ssh chain", "2d ssh models", "edge states" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable" } } }