Berlin 2024 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 35: Poster: Quantum Dynamics and Many-body Systems

DY 35.9: Poster

Mittwoch, 20. März 2024, 15:00–18:00, Poster D

perfect solitary waves in flat band systems — •Jannis Eckseler and Jürgen Schnack — Bielefeld University

Solitary waves appear in many-body systems if the initial state is a superposition of eigenstates of the Hamiltonian and the translation operator which fulfill a generalised linear dispersion relation [1]. In general a system only has approximate solitary waves, due to the finite size and discreteness of the energy spectrum which does not allow for an exact linear dispersion relation. However, in flat band systems, such as the delta-chain, an exact linear dispersion relation can be fulfilled. We investigate such perfect solitary waves in the delta chain and their robustness to small perturbations.

[1] Jürgen Schnack et al. Journal of Magnetism and Magnetic Materials 306 (2006), 79-84

Keywords: solitary waves; flat band