dc.contributor.advisor | Kehrein, Stefan Prof. Dr. | |
dc.contributor.author | Bölter, Niklas | |
dc.date.accessioned | 2023-05-11T14:12:58Z | |
dc.date.available | 2023-05-18T00:50:11Z | |
dc.date.issued | 2023-05-11 | |
dc.identifier.uri | http://resolver.sub.uni-goettingen.de/purl?ediss-11858/14661 | |
dc.identifier.uri | http://dx.doi.org/10.53846/goediss-9879 | |
dc.format.extent | XXX Seiten | de |
dc.language.iso | eng | de |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
dc.subject.ddc | 530 | de |
dc.title | Tripartite Information and Scrambling in Quantum Many-Body Systems | de |
dc.type | doctoralThesis | de |
dc.contributor.referee | Kehrein, Stefan Prof. Dr. | |
dc.date.examination | 2023-05-09 | de |
dc.subject.gok | Physik (PPN621336750) | de |
dc.description.abstracteng | This thesis contributes to the study of quantum chaos and thermalization of closed quantum systems by applying tools from quantum information theory.
We study scrambling – the delocalization of quantum information – in one-dimensional quantum many-body systems using the observable-independent tripartite information 𝐼3. We consider closed quantum systems that undergo unitary time evolution governed by a Hamiltonian, and compare them to the strong scrambling caused by random unitary operators (Haar scrambling). The tripartite information is a tool from quantum information theory that allows us to quantify correlations in space and time by considering the unitary operator evolving the system as a state |𝑈 (𝑡)⟩ in a doubled Hilbert space H ⊗ H. We found a ballistic spreading of information in translation invariant systems of spinless fermions that causes Haar scrambling in interacting models. For strongly disordered versions of the XXZ chain and the transverse-field Ising chain we found a complete breakdown of in- formation transport in non-interacting Anderson localized systems, as well as a logarithmically slow spreading of the information signal in systems that are said to be many-body localized (MBL). | de |
dc.contributor.coReferee | Manmana, Salvatore R. PD Dr. | |
dc.subject.eng | Quantum Chaos | de |
dc.subject.eng | Thermalization | de |
dc.subject.eng | Many-body quantum systems | de |
dc.subject.eng | Information Theory | de |
dc.subject.eng | Scrambling | de |
dc.subject.eng | Quantum Information Theory | de |
dc.identifier.urn | urn:nbn:de:gbv:7-ediss-14661-8 | |
dc.affiliation.institute | Fakultät für Physik | de |
dc.description.embargoed | 2023-05-18 | de |
dc.identifier.ppn | 1845359607 | |
dc.notes.confirmationsent | Confirmation sent 2023-05-11T14:15:01 | de |