Thermalization in one-dimensional quantum-many-body systems

Biebl, Fabian Ralf Anton

dc.contributor.advisor	Kehrein, Stefan Prof. Dr.
dc.contributor.author	Biebl, Fabian Ralf Anton
dc.date.accessioned	2017-01-16T09:47:33Z
dc.date.available	2017-01-16T09:47:33Z
dc.date.issued	2017-01-16
dc.identifier.uri	http://hdl.handle.net/11858/00-1735-0000-002B-7D11-6
dc.identifier.uri	http://dx.doi.org/10.53846/goediss-6079
dc.identifier.uri	http://dx.doi.org/10.53846/goediss-6079
dc.identifier.uri	http://dx.doi.org/10.53846/goediss-6079
dc.language.iso	eng	de
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject.ddc	530	de
dc.title	Thermalization in one-dimensional quantum-many-body systems	de
dc.type	doctoralThesis	de
dc.contributor.referee	Kehrein, Stefan Prof. Dr.
dc.date.examination	2016-12-14
dc.subject.gok	Physik (PPN621336750)	de
dc.description.abstracteng	We consider the thermalization of the momentum distribution in two one-dimensional models. The first one is the integrable Hubbard model with an additional integrability breaking term in the Hamiltonian, which is a next-to-nearest-neighbor hopping term. This has been previously investigated by Fürst et al. (PRE 86:031122, 2012; PRE 88:012108, 2013). They considered several initial quasiparticle momentum distributions and their relaxation times for different strengths of the next-to-nearest-neighbor hopping amplitude. We find the dependence of the thermalization rates on the model parameters, on the filling and on temperature for any initial quasiparticle momentum distribution in the regime of small integrability breaking using a Boltzmann equation. The second model is an effective model describing a chain of manganite octahedra. There, we investigate a the temperature dependence of the relaxation rates for reasonable choices of the model parameters and the filling.	de
dc.contributor.coReferee	Blöchl, Peter E. Prof. Dr.
dc.contributor.thirdReferee	Kree, Reiner Prof. Dr.
dc.contributor.thirdReferee	Manmana, Salvatore R. PD Dr.
dc.contributor.thirdReferee	Mathias, Stefan Prof. Dr.
dc.contributor.thirdReferee	Volkert, Cynthia A. Prof. Dr.
dc.subject.eng	thermalization	de
dc.subject.eng	Boltzmann equation	de
dc.subject.eng	Hubbard model	de
dc.subject.eng	non-equilibrium	de
dc.subject.eng	condensed matter	de
dc.subject.eng	electrons	de
dc.subject.eng	manganites	de
dc.identifier.urn	urn:nbn:de:gbv:7-11858/00-1735-0000-002B-7D11-6-7
dc.affiliation.institute	Fakultät für Physik	de
dc.identifier.ppn	876973160

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