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.
| Identifer | oai:union.ndltd.org:uni-osnabrueck.de/oai:repositorium.ub.uni-osnabrueck.de:urn:nbn:de:gbv:700-2014070312599 |
| Date | 03 July 2014 |
| Creators | Niemeyer, Hendrik |
| Contributors | Prof. Dr. Jochen Gemmer, Prof. Dr. Philipp Maass |
| Source Sets | Universität Osnabrück |
| Language | English |
| Detected Language | English |
| Type | doc-type:doctoralThesis |
| Format | application/pdf, application/zip |
| Rights | Attribution-NonCommercial-NoDerivatives 4.0 International, http://creativecommons.org/licenses/by-nc-nd/4.0/ |
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