SMuK 2023 – scientific programme
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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 10: AdS/CFT Correspondence II
MP 10.3: Talk
Thursday, March 23, 2023, 14:40–15:00, ZEU/0250
Geometric phases describing quantum systems with or without gravity — Souvik Banerjee1,2, •Moritz Dorband1,2, Johanna Erdmenger1,2, and Anna-Lena Weigel1,2 — 1Institute for Theoretical Physics and Astrophysics, Julius-Maximilians-University Würzburg, 97074 Würzburg, Germany — 2Würzburg-Dresden Cluster of Excellence ct.qmat
We discuss why the geometric phase is important to fully describe a quantum system, with or without gravity, by providing knowledge about the geometry and/or topology of its microscopic phase space. We illustrate this with several examples, ranging from a single spin in a magnetic field to Virasoro Berry phases and the geometric phase associated to the eternal black hole in AdS spacetime. We explain the relevance of this realisation with respect to the recent results on operator algebras in holography.