Dresden 2026 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 59: Quantum Chaos and Coherent Dynamics (joint session DY/TT)
DY 59.4: Vortrag
Freitag, 13. März 2026, 10:15–10:30, HÜL/S186
Describing the spectral behavior around higher-order exceptional points with "periodic orbits" — •Daniel Grom1, Julius Kullig1, Malte Röntgen2, and Jan Wiersig1 — 1Institut für Physik, Otto-von-Guericke-Universität Magdeburg, 39016 Magdeburg, Germany — 2Laboratoire d’Acoustique de l’Université du Mans, 72085 Le Mans, France
Coupled optical microrings can deliver a simple and robust scheme to generate higher-order exceptional points (EPs), where multiple eigen-values and -modes coalesce. A feature of an EP of order n, is the high sensitivity of the eigenvalues to small perturbations. Two types of perturbations can be classified. The generic behavior, where the eigenvalue response is proportional to the nth root and the non-generic type with a different eigenvalue response.
We present a graph theoretical perspective on the spectral characterization of perturbed higher-order EPs. It turns out that specific "periodic orbits" within the graph picture of the non-chaotic system govern the eigenvalue behavior.
Keywords: non-Hermitian physics; exceptional points; optical microcavity; graph theory