Berlin 2018 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 54: Focus Session: Chaos and Correlation in Quantum Matter (joint session DY/TT)
TT 54.5: Vortrag
Mittwoch, 14. März 2018, 10:45–11:00, EB 107
Out-of-time-ordered correlation functions in the O(N) model — •Alexander Schuckert1 and Michael Knap1,2 — 1Department of Physics, Technical University of Munich, 85748 Garching, Germany — 2Institute for Advanced Study, Technical University of Munich, 85748 Garching, Germany
In classical systems, chaos can be characterized by the sensitivity of the particles' trajectories with respect to small deviations in the initial state. An exponential growth in time then marks chaotic behavior. Recently, it has been proposed that certain out-of-time-ordered correlation functions (OTOCs) may be a suitable extension to characterize chaos in quantum many-body systems. OTOCs also probe the scrambling of quantum information across the system and thereby provide a direct connection between an information theoretic measure and chaotic dynamics. We calculate the time evolution of OTOCs in an O(N) symmetric scalar field theory at high temperatures using non-perturbative expansion techniques. Apart from the Lyapunov exponent quantifying a potential exponential growth of chaos, we are also interested in the emergent time scales of information propagation, including light-cone and butterfly velocities.