Erlangen 2022 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 24: Quantum Effects
Q 24.14: Poster
Tuesday, March 15, 2022, 16:30–18:30, P
Out-of-Time-Order Correlators in a power-law interacting Heisenberg spin chain with random positions — •Maximilian Klaus Müllenbach1, Adrian Braemer1, Sebastian Geier1, Clément Hainaut2, Martin Gärttner1,3,4, Matthias Weidemüller1, and Gerhard Zürn1 — 1Physikalisches Institut, Universität Heidelberg, Im Neuenheimer Feld 226, 69120 Heidelberg, Germany — 2Université de Lille, CNRS, UMR 8523, laboratoire de Physique des Lasers, Atomes et Molécules, Lille, France — 3Kirchhoff-Institut für Physik, Universität Heidelberg, Im Neuenheimer Feld 227, 69120 Heidelberg, Germany — 4Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, 69120 Heidelberg, Germany
We use out-of-time-order correlators (OTOCs) to study the propagation of information in disordered isolated quantum systems. Specifically we study operator spreading in a 1D random-position XXZ model with power-law interactions as a function of disorder strength using numerically exact techniques. OTOCs, i.e the squared commutators, of a local Pauli operator and time-evolved originally distant Pauli operators are known to show "light cone"-like behaviour. We characterize these emerging "light cone" structures across the localization to delocalization phase transition. Furthermore we present an experimental scheme based on Floquet Hamiltonian Engineering to perform necessary echo protocols in an interacting system of Rydberg atoms and techniques to extract OTOCs experimentally from quadratic order response functions.