Dresden 2026 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 53: Nonequilibrium Quantum Systems II (joint session TT/DY)
TT 53.3: Vortrag
Mittwoch, 11. März 2026, 15:30–15:45, HSZ/0105
Excited State Phases of Matter in the SymTFT Paradigm — •Ludwig Zweng1,2, Apoorv Tiwari3, and Sanjay Moudgalya1,2 — 1Technical University of Munich, TUM School of Natural Sciences — 2Munich Center for Quantum Science and Technology (MCQST) — 3Southern Denmark University, Center for Quantum Mathematics at IMADA
Recent works have developed a unifying framework for classifying ground state phases of matter with a wide range of discrete symmetries—both group-like and non-invertible symmetries—via a holographic correspondence between symmetric operators in d dimensions and topological operators in a d+1 dimensional system often known as the SymTO or SymTFT. Its lattice formulation naturally yields fixed-point commuting Hamiltonians that realize these phases in their ground state. In this work, we extend this framework to non-equilibrium settings by analyzing excited states of these fixed-point models. Characterizing symmetry breaking patterns in the excited states requires new tools and diagnostic methods, which we develop to find that they can differ dramatically from their ground state counterparts, leading to a rich and sometimes surprising phenomenology. We illustrate these phenomena by constructing lattice models for a variety of invertible and non-invertible symmetries, classifying the distinct excited state phases that arise in each case. Finally, we propose a concrete definition of excited state phases of matter and argue that the SymTFTs that capture ground state phases do not fully capture the intricacies of the excited states.
Keywords: Topological Phases; Many-Body Localization; Spontaneous Symmetry Breaking; Commuting Projector Hamiltonians; Quantum Phases of Matter