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TT: Fachverband Tiefe Temperaturen

TT 54: Focus Session: Chaos and Correlation in Quantum Matter (joint session DY/TT)

TT 54.6: Hauptvortrag

Mittwoch, 14. März 2018, 11:15–11:45, EB 107

Quantum Thermalization Dynamics: From Information Scrambling to Emergent Hydrodynamics — •Michael Knap — Department of Physics and Institute for Advanced Study, Technical University of Munich, 85748 Garching, Germany

Generic, clean quantum many-body systems approach a thermal equilibrium after a long time evolution. In order to reach a global equilibrium, conserved quantities have to be transported across the whole system which is a rather slow process governed by diffusion. By contrast, the scrambling of quantum information is ballistic and hence can be characterized by a "butterfly" velocity. One way of describing the propagation of quantum information is to study out-of-time ordered (OTO) correlation functions, which are unconventional correlation functions with time arguments that are not time ordered. Using matrix-product-state based numerical simulations, we compute such correlators at high temperatures in a one-dimensional Bose-Hubbard model and in generic spin-models, where well defined quasi-particles cease to exist [1]. Finally, we will discuss ways of experimentally characterizing these unconventional OTO correlation functions in synthetic quantum matter.

[1] A. Bohrdt, C. B. Mendl, M. Endres, M. Knap, New J. Phys. 19, 063001 (2017).