Dresden 2020 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 46: Many-body Quantum Dynamics I
DY 46.5: Talk
Thursday, March 19, 2020, 10:45–11:00, HÜL 186
Hierarchy of double-time correlations for quenches in the Bose-Hubbard model — •Friedemann Queisser1,2,3 and Ralf Schützhold1,2,3 — 1Fakultät für Physik, Universität Duisburg-Essen, Lotharstraße 1, Duisburg 47057, Germany — 2Helmholtz-Zentrum Dresden-Rossendorf, Bautzner Landstraße 400, 01328 Dresden, Germany — 3Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany
The hierarchy of correlations is an analytical approximation method which allows us to study non-equilibrium phenomena in strongly interacting quantum many-body systems on lattices in higher dimensions (with the underlying idea being somewhat similar to dynamical mean-field theory). So far, this method was restricted to equal-time correlators such as ⟨µ(t)Bν(t)⟩. Using the method of complete induction, we generalize this method to double-time correlators such as ⟨µ(t)Bν(t′)⟩, which allows us to study effective light cones and Green functions and to incorporate finite initial temperatures. As an application, we study the non-equilibrium dynamics after quantum quenches of the Bose-Hubbard model in the Mott insulator phase.
Reference: arXiv:1909.10938