Properties of eigenmodes and quantum-chaotic scattering in a superconducting microwave Dirac billiard with threefold rotational symmetry

W Zhang, X Zhang, J Che, M Miski-Oglu, B Dietz - Physical Review B, 2023 - APS
We report on experimental studies that were performed with a microwave Dirac billiard (DB),
that is, a flat resonator containing metallic cylinders arranged on a triangular grid, whose …

Graphene billiards with fourfold symmetry

W Zhang, B Dietz - Physical Review Research, 2023 - APS
We report on the realization of a graphene billiard with a fourfold rotational symmetry, which
has the shape of a billiard with chaotic classical dynamics. The eigenstates are separated …

[HTML][HTML] Realization of terahertz frequency selecting based on topological edge states with kagome photonic crystals

H Zhang, Z Gu, L Si, J Ding - Results in Physics, 2024 - Elsevier
Topological photonic insulators provide a novel approach to achieve high-efficiency
terahertz transmissions due to the presence of the topological edge states. In this work, the …

Semi-poisson statistics in relativistic quantum billiards with shapes of rectangles

B Dietz - Entropy, 2023 - mdpi.com
Rectangular billiards have two mirror symmetries with respect to perpendicular axes and a
twofold (fourfold) rotational symmetry for differing (equal) side lengths. The eigenstates of …

Quantum signatures of chaos in relativistic quantum billiards with shapes of circle-and ellipse-sectors

P Yu, W Zhang, B Dietz, L Huang - Journal of Physics A …, 2022 - iopscience.iop.org
Abstract According to the Berry–Tabor conjecture, the spectral properties of typical
nonrelativistic quantum systems with an integrable classical counterpart agree with those of …

Unidirectionality and Husimi functions in constant-width neutrino billiards

B Dietz - Journal of Physics A: Mathematical and Theoretical, 2022 - iopscience.iop.org
We investigate the spectral properties and Husimi functions of relativistic quantum billiards
(QBs) consisting of a spin-1/2 particle governed by the Dirac equation and confined to a …

Fluctuation properties of the eigenfrequencies and scattering matrix of closed and open unidirectional graphs with chaotic wave dynamics

J Che, X Zhang, W Zhang, B Dietz, G Chai - Physical Review E, 2022 - APS
We present experimental and numerical results for the fluctuation properties in the
eigenfrequency spectra and of the scattering matrix of closed and open unidirectional …

[PDF][PDF] Relativistic Quantum Billiards with Threefold Rotational Symmetry: Exact, Symmetry-Projected Solutions for Equilateral Neutrino Billiard.

B Dietz - Acta Physica Polonica: A, 2021 - inspirehep.net
A classical billiard (CB)[1–3] consists of a bounded two-dimensional domain, in which a
point particle moves freely and is reflected specularly at the boundary. Billiards have the …

Eigenfunction and eigenmode-spacing statistics in chaotic photonic crystal graphs

S Ma, TM Antonsen, SM Anlage - Physical Review E, 2022 - APS
The statistical properties of wave chaotic systems of varying dimensionalities and
realizations have been studied extensively. These systems are commonly characterized by …

Haldane graphene billiards versus relativistic neutrino billiards

DX Nguyen, B Dietz - Physical Review B, 2024 - APS
We study fluctuation properties in the energy spectra of finite-size honeycomb lattices—
graphene billiards—subject to the Haldane-model on-site potential and next-nearest …