Matrix Product State Approaches to Non-equilibrium Spectral Quantities of Strongly Correlated Fermions in One Dimension

Meyer, Constantin

dc.contributor.advisor	Manmana, Salvatore R. PD Dr.
dc.contributor.author	Meyer, Constantin
dc.date.accessioned	2022-06-09T11:11:13Z
dc.date.available	2022-06-16T00:50:11Z
dc.date.issued	2022-06-09
dc.identifier.uri	http://resolver.sub.uni-goettingen.de/purl?ediss-11858/14090
dc.identifier.uri	http://dx.doi.org/10.53846/goediss-9286
dc.language.iso	eng	de
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 International	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject.ddc	530	de
dc.title	Matrix Product State Approaches to Non-equilibrium Spectral Quantities of Strongly Correlated Fermions in One Dimension	de
dc.type	doctoralThesis	de
dc.contributor.referee	Manmana, Salvatore R. PD Dr.
dc.date.examination	2022-04-19	de
dc.subject.gok	Physik (PPN621336750)	de
dc.description.abstracteng	In this thesis we numerically study non-equilibrium phenomena in one-dimensional quantum many-body systems. We discuss extensions of the concepts of spectral functions and of the optical conductivity to time-dependent non-equilibrium setups and compute these quantities by means of matrix product state (MPS)-based methods. In a first application we study the effect of a spin-selective particle-hole-like excitation on a Hubbard model with an additional magnetic superstructure. Following the excitation, this model exhibits a stable charge density, as well as a stable spin density pattern mirroring the superstructure. For interacting systems we find an additional in-gap signal in the spectral function in the spin direction opposite to the one we applied the excitation in, which also persists over time. Our results are confirmed by a computation of the corresponding optical conductivity. We interpret our results as a trace of an exciton, which we support by an analysis in the atomic limit, and therefore refer to our findings as a peculiar spinful exciton. In contrast to many other setups, no long-range Coulomb term is needed for this exciton to form. Second, we apply the same calculus to compute non-equilibrium spectral functions of a Floquet-driven system of interacting spinless fermions in the charge density wave (CDW) Mott insulator phase, where we model the driving through a Peierls substitution ansatz. We find good agreement of our results with computations from an effective model obtained from Floquet theory, as well as Floquet side bands. These, however, do not show at all times as expected. Furthermore, another in-gap signal occurs, that is somewhat reminiscent of free particles, which goes hand in hand with a melting of the CDW pattern.	de
dc.contributor.coReferee	Kehrein, Stefan Prof. Dr.
dc.subject.eng	matrix product states	de
dc.subject.eng	non-equilibrium	de
dc.subject.eng	out-of-equilibrium	de
dc.subject.eng	photo excitation	de
dc.subject.eng	ARPES	de
dc.subject.eng	MPS	de
dc.subject.eng	DMRG	de
dc.subject.eng	optical conductivity	de
dc.subject.eng	spectral function	de
dc.subject.eng	Floquet systems	de
dc.subject.eng	driven systems	de
dc.identifier.urn	urn:nbn:de:gbv:7-ediss-14090-1
dc.affiliation.institute	Fakultät für Physik	de
dc.description.embargoed	2022-06-16	de
dc.identifier.ppn	1806813386

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