{ "id": "1906.00962", "version": "v1", "published": "2019-06-03T09:32:41.000Z", "updated": "2019-06-03T09:32:41.000Z", "title": "Topological states at exceptional points", "authors": [ "C. Yuce" ], "comment": "To appear in Phys. Lett. A", "categories": [ "quant-ph", "cond-mat.mes-hall", "physics.optics" ], "abstract": "We consider an N-level non-Hermitian Hamiltonian with an exceptional point of order N. We define adiabatic equivalence in such systems and explore topological phase. We show that the topological exceptional states appear at the interface of topologically distinct systems. We discuss that topological states appear even in closed systems. We explore dynamical robustness of exceptional edge states.", "revisions": [ { "version": "v1", "updated": "2019-06-03T09:32:41.000Z" } ], "analyses": { "keywords": [ "exceptional point", "n-level non-hermitian hamiltonian", "define adiabatic equivalence", "exceptional edge states", "topological exceptional states appear" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }