Hannover 2020 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 6: Quantum Effects (Disorder and Entanglement)

Q 6.1: Invited Talk

Monday, March 9, 2020, 11:00–11:30, f342

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

Basic features of a quantum system, such as its dynamical behaviour or its stability to perturbations, depend crucially on the statistical properties of its spectrum and eigenstates. In this talk, we will explore the characterization of the eigenstate structure in Hilbert space for 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], touching also upon the underlying connection with the emergence of spectral chaos [4].

2mm [1] J. Lindinger, A. Buchleitner, A. Rodríguez, PRL 122, 106603 (2019).
[2] D. J. Luitz, F. Alet, N. Laflorencie, PRL 112, 057203 (2014).
[3] N. Macé, F. Alet, N. Laflorencie, PRL 123, 180601 (2019).
[4] A. R. Kolovsky, A. Buchleitner, Europhys. Lett., 68, 632 (2004).