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Seminars»01.12.2022 - F. Nur Ünal : New Frontiers in Topology, Quantum Geometry and Quantum Simulations

01.12.2022 - F. Nur Ünal : New Frontiers in Topology, Quantum Geometry and Quantum Simulations

New Frontiers in Topology, Quantum Geometry and Quantum Simulations

F. Nur Ünal
University of Cambridge, TCM Group, Cavendish Laboratory
01 December 2022, Thursday, 14:30

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Abstract: Topologically protected phases profit from connections with mathematical principles to characterize illustrious physical behaviours in tangible systems. State-of-the-art quantum simulators provide a versatile platform for exploring these phenomena at a fundamental level, even providing the opportunity for observing the ‘knots’ wave functions tie during their evolution. I will talk about new exotic topologies involving non-Abelian braiding of band nodes in multi-gap systems, and demonstrate new phases in out-of-equilibrium settings with no static counterparts as well as ways for quantum simulators to probe them. I will further introduce new geometric descriptions for N-level systems in terms of a nested structure comprising spheres, opening up a new avenue for the interpretation of the topological classification and the dynamical illustration of multi-level systems as well as the design of new experimental probes.