Regensburg 2019 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 39: Quantum matter: Chaos, correlation
DY 39.3: Vortrag
Mittwoch, 3. April 2019, 17:45–18:00, H6
Logarithmic spreading of out-of-time-ordered correlators without many-body localization — •Adam Smith1, Johannes Knolle1,2, Roderich Moessner3, and Dmitry Kovrizhin4,5 — 1T.C.M. group, Cavendish Laboratory, Cambridge, UK — 2Blackett Laboratory, Imperial College London, London, UK — 3Max Planck Institute for the Physics of Complex Systems, Dresden, Germany — 4Rudolf Peierls Centre for Theoretical Physics, Oxford, UK — 5NRC Kurchatov institute, Moscow, Russia
Out-of-time-ordered correlators (OTOCs) have received renewed attention in the studies of non-equilibrium quantum many-body dynamics. They describe information scrambling under unitary time evolution and provide a useful probe of the emergence of quantum chaos. Here we calculate OTOCs for a model of disorder-free localization whose exact mapping to free fermions allows us to study long-time behaviour in large systems. Remarkably, we observe logarithmic spreading of correlations, which is markedly different to that of both thermalizing and Anderson localized systems. While this behaviour is a signature of many-body localization, our findings are for an essentially non-interacting model. We provide an explanation for this unusual behaviour and suggest a novel Loschmidt echo protocol as a probe of correlation spreading.