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 54.4: Vortrag

Mittwoch, 14. März 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.