Dresden 2026 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 63: Quantum Dynamics and Many-body Systems – Poster (joint session DY/TT)

TT 63.12: Poster

Wednesday, March 11, 2026, 15:00–18:00, P5

Complex dynamics and particle-wave correspondence in anisotropic mesoscopic cavities — •Silvan Stopp, Samuel Schlötzer, Lukas Seemann, and Martina Hentschel — Technische Universität Chemnitz, 09107 Chemnitz, Germany

Mesoscopic billiard systems with different geometries are well-known model systems for investigating complex dynamics and quantum chaos. While the breaking of spatial cavity symmetries is typically considered to be the origin of chaotic dynamics, we show that anisotropies, i.e., broken symmetries in momentum space, can also cause chaotic particle dynamics. To this end, we investigate bilayer graphene systems (BLG) [1] and birefringent optical microcavities [2], both of which have preferred propagation directions. Anisotropy prevent angular momentum to be a conserved quantity, and consequently, the angles of incidence and of reflection of a particle trajectory deviate. Therefore, we implementing an advanced ray tracing algorithm that we apply to BLG and birefringent cavities. We show that the presence of anisotropies induces chaotic dynamics even in circular cavities. We investigate the interplay of the cavity shape and the Fermi line geometry and illustrate how it affects the cavity dynamics. In particular, we find that certain trajectories can be stabilized by matching the symmetry in real and momentum space. In addition, we use Kwant and transformation optics to demonstrate ray/particle-wave correspondence in real space as well as in phase space using the Husimi function.

[1] L. Seemann, A. Knothe, M. Hentschel, PRB 107, 205404 (2023)

[2] M. Hentschel, S. Schlötzer, L. Seemann, Entropy 27(2):132 (2025)

Keywords: billiards; ray-wave correspondence; anisotropy; ray tracing