SMuK 2021 – scientific programme
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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 4: AdS-CFT II
MP 4.2: Talk
Tuesday, August 31, 2021, 14:25–14:50, H7
Berry Phases Probing the Fine-Structure of Entanglement — Souvik Banerjee1, •Moritz Dorband1,2, Johanna Erdmenger1,2, Emma Loos1,2, René Meyer1,2, Flavio Nogueira3, and Jeroen van den Brink2,3,4 — 1Institute for Theoretical Physics, Julius-Maximilians-Universität Würzburg, 97074 Würzburg, Germany — 2Würzburg-Dresden Cluster of Excellence ct.qmat — 3Institute for Theoretical Solid State Physics, IFW Dresden, 01069 Dresden, Germany — 4Institute for Theoretical Physics, TU Dresden, 01069 Dresden, Germany
We consider the notion of Berry phase for simple quantum mechanical models as well as for wormholes in gravity and their interpretation in the light of the AdS/CFT correspondence. In both cases the Berry phases arise due to unitary transformations acting on subsystems of the considered models. In the quantum mechanical case, we act with a rotation on half of the system while in the wormhole case, only one throat undergoes time evolution. Since both these transformations are unitary the entanglement properties of the systems are not distinguishable by a local measurement. We substantiate these results for the wormhole by an explicit calculation in two-dimensional gravity.
We furthermore discuss how Berry phases are related to non-exact symplectic forms in parameter space. Again we consider simple quantum mechanical models and gravity wormholes in that regard.