Dokument: Absence of bound states for quantum walks and CMV matrices via reflections
| Titel: | Absence of bound states for quantum walks and CMV matrices via reflections | |||||||
| URL für Lesezeichen: | https://docserv.uni-duesseldorf.de/servlets/DocumentServlet?id=72550 | |||||||
| URN (NBN): | urn:nbn:de:hbz:061-20260313-111618-0 | |||||||
| Kollektion: | Publikationen | |||||||
| Sprache: | Englisch | |||||||
| Dokumententyp: | Wissenschaftliche Texte » Artikel, Aufsatz | |||||||
| Medientyp: | Text | |||||||
| Autoren: | Cedzich, Christopher [Autor] Fillman, Jake [Autor] | |||||||
| Dateien: |
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| Stichwörter: | quantum walks , CMV matrices , delocalization , singular continuous spectrum , quasi-periodicity , unitary almost Mathieu operator , resonances | |||||||
| Beschreibung: | We give a criterion based on reflection symmetries in the spirit of Jitomirskaya–Simon to show absence of point spectrum for (split-step) quantum walks and Cantero–Moral–Velázquez (CMV) matrices. To accomplish this, we use some ideas from a recent paper by the authors and collaborators to implement suitable reflection symmetries for such operators. We give several applications. For instance, we deduce arithmetic delocalization in the phase for the unitary almost-Mathieu operator and singular continuous spectrum for generic CMV matrices generated by the Thue–Morse subshift. | |||||||
| Rechtliche Vermerke: | Originalveröffentlichung:
Cedzich, C., & Fillman, J. (2024). Absence of bound states for quantum walks and CMV matrices via reflections. Journal of Spectral Theory, 14(4), 1513–1536. https://doi.org/10.4171/jst/533 | |||||||
| Lizenz: |  Dieses Werk ist lizenziert unter einer Creative Commons Namensnennung 4.0 International Lizenz | |||||||
| Fachbereich / Einrichtung: | Mathematisch- Naturwissenschaftliche Fakultät | |||||||
| Dokument erstellt am: | 13.03.2026 | |||||||
| Dateien geändert am: | 13.03.2026 |
