Mainz 2026 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 69: Collective Effects and Disordered Systems

Q 69.7: Vortrag

Freitag, 6. März 2026, 12:30–12:45, P 2

Fast and slow scrambling in many-body long-range interacting systems — •Francesco Mattiotti and Giovanna Morigi — Theoretische Physik, Universität des Saarlandes, D-66123 Saarbrücken, Germany

Information scrambling, and its intimate relation to quantum chaos, represents one of the frontiers of research in condensed matter and many-body physics. A system which deteriorates information exponentially in time is called a fast scrambler, and the associated scrambling rate has been regarded as a quantum analog of the Lyapunov exponent, which in classical chaotic systems dictates the rate at which two initially closed trajectories diverge in phase space. Few condensed matter systems scramble fast, and, to the best of our knowledge, none saturates the bound on the quantum Lyapunov exponent, with the exception of the Sachdev-Ye-Kitaev (SYK) model. Here we investigate scrambling in the presence of long-range interactions and as a function of the initial state. We study how the spectral gap induced by long-range interactions affects the scrambling velocity of the system, depending on whether the initial state evolves inside a single subspace or multiple ones.

Keywords: information scrambling; Lyapunov exponent; long-range interactions