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CLASS:PUBLIC
SUMMARY:Dynamical Quantum Typicality, Concept and Applications
DTSTART;TZID=Europe/Berlin:20180612T100000
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LOCATION;ENCODING=QUOTED-PRINTABLE:Campus Campus Duisburg :  MG 272
CONTACT:Prof. Björn Sothmann ()
DESCRIPTION:Prof. Björn Sothmann ()
Dynamical Quantum Typicality, Concept and Applications
Robin Steinigeweg, University Osnabrück
The concept of typicality states that a single pure state can have the same properties as the full statistical ensemble. This concept is not restricted to specific states and applies to the overwhelming majority of all possible states, drawn at random from a high-dimensional Hilbert space. In the cleanest realization, even a single eigenstate of the Hamiltonian may feature the properties of the full equilibrium density matrix, assumed in the well-known eigenstate thermalization hypothesis. The notion of property is manifold in this context and also refers to the expectation values of observables. Remarkably, typicality is not only a static concept and includes the dynamics of expectation values. Recently, it has become clear that typicality even provides the basis for powerful numerical approaches to the dynamics and thermalization of many-body quantum systems at nonzero temperatures. These approaches are in the center of my talk.
Tuesday, 12. June 2018
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