SAMOP 2021 – wissenschaftliches Programm

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Q: Fachverband Quantenoptik und Photonik

Q 1: Quantum Nano-Optics and Quantum Effects

Q 1.2: Hauptvortrag

Montag, 20. September 2021, 12:15–12:45, H1

Hilbert space structure of eigenstates in many-body quantum systems — •Alberto Rodríguez — Departamento de Física Fundamental, Universidad de Salamanca, E-37008 Salamanca, Spain

In this talk, we will explore the characterization of the eigenstate structure in Hilbert space for sytems of interacting particles borrowing the tools from multifractal analysis, which has a long history in the field of Anderson localization. We will discuss to which extent such formalism is able to unveil the complexity of many-body eigenstates and capture the existence of different ‘phases’ in the system [1-3], and how it is useful to characterize the emergence of chaos in systems of interacting bosons [4].

[1] J. Lindinger, A. Buchleitner, A. Rodríguez, PRL 122, 106603 (2019).

[2] D. J. Luitz, F. Alet, N. Lafl orencie, PRL 112, 057203 (2014).

[3] N. Macé, F. Alet, N. Lafl orencie, PRL 123, 180601 (2019).

[4] L. Pausch et al., PRL 126, 150601 (2021).