Regensburg 2025 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 45: Quantum Chaos (joint session DY/TT)
DY 45.1: Vortrag
Freitag, 21. März 2025, 11:30–11:45, H37
Semiclassical foundation of universality in many-body quantum circuits — •Maximilian Kieler1, Felix Fritzsch2, and Arnd Bäcker1 — 1TU Dresden, Institut für Theoretische Physik, Dresden, Germany — 2Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Straße 38, 01187 Dresden, Germany
For single particle systems the fundamental equivalence of quantum chaotic systems and random matrix theory is well-understood by means of semiclassical periodic orbit theory. We propose an extension to spatially local many-body systems by incorporating the concept of symmetry-breaking. Using this we show that random matrix behavior arises generically in quantum chaotic many-body systems in the form of a symmetry breaking of local time-translation symmetries. This general framework is applied to quantum circuits where an explicit correspondence to the random matrix result for the spectral form factor can be shown.
Keywords: periodic orbit theory; semiclassical physics; random matrix theory; quantum many-body circuits