From graphene to fullerene: experiments with microwave photonic crystals

B Dietz, A Richter - Physica Scripta, 2018 - iopscience.iop.org
Ultracold quantum gases serve as ideal models for the characterization of universal
properties of a variety of phenomena in quantum systems. In a formal analogy to …

Relativistic quantum chaos

L Huang, HY Xu, C Grebogi, YC Lai - Physics Reports, 2018 - Elsevier
Quantum chaos is generally referred to as the study of quantum manifestations or
fingerprints of nonlinear dynamical and chaotic behaviors in the corresponding classical …

Quantum and wave dynamical chaos in superconducting microwave billiards

B Dietz, A Richter - Chaos: An Interdisciplinary Journal of Nonlinear …, 2015 - pubs.aip.org
Experiments with superconducting microwave cavities have been performed in our
laboratory for more than two decades. The purpose of the present article is to recapitulate …

Magneto-Thermoelectric Transport in Graphene Quantum Dot with Strong Correlations

LE Anderson, A Laitinen, A Zimmerman… - Physical Review Letters, 2024 - APS
Disorder at etched edges of graphene quantum dots (GQD) enables random all-to-all
interactions between localized charges in partially filled Landau levels, providing a potential …

Multifractal dimensions for orthogonal-to-unitary crossover ensemble

A Sarkar, A Dheer, S Kumar - Chaos: An Interdisciplinary Journal of …, 2024 - pubs.aip.org
Multifractal analysis is a powerful approach for characterizing ergodic or localized nature of
eigenstates in complex quantum systems. In this context, the eigenvectors of random …

Spectral properties of superconducting microwave photonic crystals modeling Dirac billiards

B Dietz, T Klaus, M Miski-Oglu, A Richter - Physical Review B, 2015 - APS
We determined experimentally the eigenvalues of two rectangular quantum billiards that
contain circular scatterers forming a triangular grid, so-called Dirac billiards. For this we …

Relativistic quantum chaos—An emergent interdisciplinary field

YC Lai, HY Xu, L Huang, C Grebogi - Chaos: An Interdisciplinary …, 2018 - pubs.aip.org
The development of chaos theory has fundamentally changed our understanding of a large
variety of nonlinear dynamical phenomena. The question of what chaos can do to a …

Spectral properties of Dirac billiards at the van Hove singularities

B Dietz, T Klaus, M Miski-Oglu, A Richter… - Physical Review Letters, 2016 - APS
We study distributions of the ratios of level spacings of rectangular and Africa-shaped
superconducting microwave resonators containing circular scatterers on a triangular grid, so …

Gaussian orthogonal ensemble statistics in graphene billiards with the shape of classically integrable billiards

P Yu, ZY Li, HY Xu, L Huang, B Dietz, C Grebogi… - Physical Review E, 2016 - APS
A crucial result in quantum chaos, which has been established for a long time, is that the
spectral properties of classically integrable systems generically are described by Poisson …

Nonlinear responses and stability analysis of viscoelastic nanoplate resting on elastic matrix under 3: 1 internal resonances

Y Wang, F Li, Y Wang, X **g - International Journal of Mechanical …, 2017 - Elsevier
The nonlinear responses and stability of double-layered nanoplate embedded in the elastic
medium are investigated in the presence of 3: 1 internal resonance. By the nonlocal theory …