SKM 2023 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 33: Many-Body Quantum Dynamics (joint session DY/TT)
TT 33.2: Vortrag
Mittwoch, 29. März 2023, 10:00–10:15, MOL 213
Bridging classical and quantum many-body information dynamics — •Andrea Pizzi1,2, Daniel Malz3,4, Andreas Nunnenkamp5, and Johannes Knolle6,4,7 — 1Department of Physics, Harvard University, Cambridge 02138, Massachusetts, USA — 2Cavendish Laboratory, University of Cambridge, Cambridge CB3 0HE, United Kingdom — 3Max-Planck-Institute of Quantum Optics, Hans-Kopfermann-Str. 1, 85748 Garching, Germany — 4Munich Center for Quantum Science and Technology (MCQST), 80799 Munich, Germany — 5Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1190 Vienna, Austria — 6Department of Physics, Technische Universität München, James-Franck-Stra. 1, 85748 Garching, Germany — 7Blackett Laboratory, Imperial College London, London SW7 2AZ, United Kingdom
The fundamental question of how information spreads in closed quantum many-body systems is often addressed through the lens of the bipartite entanglement entropy. Among its most striking features are unbounded linear growth in the thermodynamic limit, asymptotic extensivity in finite-size systems, and measurement-induced phase transitions. Here, we show that these key qualitative features emerge naturally also for the classical bipartite mutual information, the natural classical analogue of the quantum entanglement entropy. Key for this observation is treating the classical many-body problem on par with the quantum one, that is, explicitly accounting for the exponentially large probability distribution. Our analysis is supported by extensive numerics on prototypical cellular automata and Hamiltonian systems.