Regensburg 2025 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 27: Poster: Nonlinear Dynamics, Pattern Formation, Granular Matter

DY 27.9: Poster

Wednesday, March 19, 2025, 15:00–18:00, P4

Driven BHD - onset of chaos and extendet KNH-Theorem — •Nico Fink, Viviane Bauer, and James Anglin — Physics Department and Research Center OSCAR, RPTU Kaiserslautern-Landau

When we investigate physical systems the method of description changes in dependence of scale: mechanics for individual particles but statistical methods for many. Indeed the latter should derive from mechanics, but how exactly do they relate? In other words: how does an increse in degrees od freedom influences the behaviour of a system and what kind of effects appear? In a Bose-Hubbard-dimer as a modelsystem it has been shown, that the existence of an instable fixpoint - and thereby a separatrix - can give rise to irreversibility. This is realised by adiabatically varying the potentialdifference of the sites, causing the ensemble to split into two sub-ensembles when crossing the separatrix. If the consicered meanfield Bose-Hubbard-Dimer is extendet by periodic driving a chaotic band emerges in the neighbourhood of the separatrix. We investigate the onset of chaos and the characteristic behaviour of the system in general and under the change of potential as described above.

Keywords: Irreversibility; Bose-Hubbard-Dimer; Chaos