Dresden 2020 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 66: Many-body Quantum Dynamics II

DY 66.3: Talk

Friday, March 20, 2020, 10:30–10:45, HÜL 186

How the energy structure of perturbations affects the relaxation of many-body quantum systems — •Lennart Dabelow and Peter Reimann — Fakultät für Physik, Universität Bielefeld, 33615 Bielefeld, Germany

We investigate the response of isolated many-body quantum systems to generic perturbations. In general, such perturbations will couple states of different energies differently, but commonly the strength depends dominantly on their energy distances. Under this assumption, and in the absence of specific symmetries or macroscopic inhomogeneities, we use typicality methods to derive an integral equation relating the energy profile of the perturbation to the temporal relaxation characteristic of the perturbed system. The solution of this equation leads to a prediction for the time evolution of observables. We illustrate the general results by means of specific examples.