Heidelberg 2022 – wissenschaftliches Programm

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 3: Quantum dynamics

MP 3.1: Hauptvortrag

Dienstag, 22. März 2022, 11:00–11:30, MP-H5

Dualities and categorical symmetries in quantum spin chains — •Frank Verstraete — Ghent University

Categorical symmetries play a central role in the characterization of the entanglement features of quantum spin systems exhibiting topological order in 2+1D or criticality in 1+1D. In this talk, we will discuss those symmetries from the point of view of tensor networks, and demonstrate that matrix product operators realize representations of the corresponding module categories. This on its turn allows for a constructive approach to building dualities for quantum spin chains.