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DY: Fachverband Dynamik und Statistische Physik

DY 9: Statistical Physics 2 - organized by Barbara Drossel (Darmstadt), Sabine Klapp (Berlin) und Thomas Speck (Mainz)

DY 9.6: Talk

Monday, March 22, 2021, 12:40–13:00, DYb

Hilbert space average of transition probabilities — •Nico Hahn, Thomas Guhr, and Daniel Waltner — Faculty of Physics, University of Duisburg-Essen, Lotharstr. 1, 47057 Duisburg, Germany

The typicality approach and the Hilbert space averaging method as its technical manifestation are important concepts of quantum statistical mechanics. Extensively used for expectation values we will extend them to transition probabilities. We find that the transition probability of two random uniformly distributed states is connected to the spectral statistics of the considered operator. We will demonstrate our quite general result for a kicked spin chain.