The Approach to Equilibration in Closed Quantum Systems
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https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2014070312599
https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2014070312599
Title: | The Approach to Equilibration in Closed Quantum Systems |
Other Titles: | Equilibrierung von abgeschlossenen Quantensystemen |
Authors: | Niemeyer, Hendrik |
Thesis advisor: | Prof. Dr. Jochen Gemmer |
Thesis referee: | Prof. Dr. Philipp Maass |
Abstract: | 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. |
URL: | https://osnadocs.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2014070312599 |
Subject Keywords: | Quantenthermodynamik; Quantenmechanik; Thermodynamik; Heisenbergmodell |
Issue Date: | 3-Jul-2014 |
License name: | Attribution-NonCommercial-NoDerivatives 4.0 International |
License url: | http://creativecommons.org/licenses/by-nc-nd/4.0/ |
Type of publication: | Dissertation oder Habilitation [doctoralThesis] |
Appears in Collections: | FB06 - E-Dissertationen |
Files in This Item:
File | Description | Size | Format | |
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thesis_niemeyer.pdf | Präsentationsformat | 958,13 kB | Adobe PDF | thesis_niemeyer.pdf View/Open |
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