Dresden 2020 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 46: Many-body Quantum Dynamics I

DY 46.9: Talk

Thursday, March 19, 2020, 12:00–12:15, HÜL 186

Hilbert space average of transition probabilities — •Nico Hahn and Daniel Waltner — Faculty of Physics, University of Duisburg-Essen, Lotharstr. 1, 47048 Duisburg, Germany

The typicality approach and the Hilbert space averaging method as its technical manifestation are important concepts of quantum statistical mechanics. Extensivley 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.