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The Approach to Equilibration in Closed Quantum Systems / Equilibrierung von abgeschlossenen Quantensystemen

The question whether and how closed quantum systems equilibrate is still debated today.
In this thesis a generic spin system is analysed and criteria to classify unique equilibration
dynamics are developed. Furthermore, the eigenstate thermalization hypothesis is
investigated as a possible cause for the unique equilibrium. For both problems novel
numerical methods for solving the time-dependent Schroedinger equation based on series
expansions and typicality are developed. Furthermore, the problem of markovian
dynamics on the level of single measurements is discussed.

Identiferoai:union.ndltd.org:uni-osnabrueck.de/oai:repositorium.ub.uni-osnabrueck.de:urn:nbn:de:gbv:700-2014070312599
Date03 July 2014
CreatorsNiemeyer, Hendrik
ContributorsProf. Dr. Jochen Gemmer, Prof. Dr. Philipp Maass
Source SetsUniversität Osnabrück
LanguageEnglish
Detected LanguageEnglish
Typedoc-type:doctoralThesis
Formatapplication/pdf, application/zip
RightsAttribution-NonCommercial-NoDerivatives 4.0 International, http://creativecommons.org/licenses/by-nc-nd/4.0/

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