Berlin 2018 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 36: Focus: Chaos and Correlation in Quantum Matter (joint session DY/TT)

DY 36.4: Talk

Wednesday, March 14, 2018, 10:30–10:45, EB 107

Out of time order correlators from the time dependent variational principle — •Kevin Hemery, Frank Pollmann, and David Luitz — Department of Physics, T42, Technische Universität Muenchen, James-Franck-Strasse 1, D-85748 Garching, Germany

Out of time order correlators (OTOCs), which measure the spreading of information in quantum systems, have drawn a lot of attention recently. However, the numerical calculation of OTOCs is extremely challenging, which renders the verification of theoretical predictions difficult. We tackle this problem within the Schroedinger picture in combination with a matrix-product state formulation of the time dependent variational principle (TDVP). First, we benchmark this technique by comparing the results with exact Krylov space time evolution results for small chains. Second, we calculate the OTOCs for system sizes which are unreachable by exact methods and analyze the hydrodynamic spreading of the light cone front.