Tripartite Information and Scrambling in Quantum Many-Body Systems

Bölter, Niklas

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

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