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SUMMARY:TRR 360 Seminar:Topology in multi-level systems and braiding of band singularities F. Nur Ünal
DESCRIPTION:Topology in multi-level systems and braiding of band singularities \nDr. F. Nur Ünal \nTCM Group\, Cavendish Laboratory\, University of Cambridge\, United Kingdom \n\n\n\n\n\n\nRecent years have witnessed the discovery of novel multi-gap topologies that go beyond all previously-known classifications\, arising from intricate non-Abelian braiding procedures. I will talk about non-Abelian charges that can be associated with band singularities in certain multi-level systems and discuss their braiding procedures. I will introduce new non-Abelian topological phases\, some of which come with no static counterparts\, highlighting new topological invariants required to characterise these phases. The underlying non-Abelian charges can be however quite elusive\, and consequently direct measurement of these charges and topological invariants has been challenging. To this end\, I will identify observable signatures within reach of state-of-the-art experiments and present concrete protocols with first experimental verifications. Finally\, I will go beyond these non-Abelian topological considerations and introduce visually powerful geometric descriptions that arise for multi-level systems (qudits) with more general applications. \n\n\n\narXiv:2511.03894 \n\n\n\narXiv:2603.04489 \n\n\n\nNat. Comm. 15\, 1144 (2024) \n\n\n\nPhys. Rev. Lett. 133\, 093404 (2024) \n\n\n\nPhys. Rev. Research 4\, 023120 (2022) \n\n\n\n\n\n\n\nVenue
URL:https://www.trr360.de/event/trr-360-seminartopology-in-multi-level-systems-and-braiding-of-band-singularities-f-nur-unal/
LOCATION:Technical University Munich + Zoom
CATEGORIES:Seminar
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