Gain-induced topological response via tailored long-range interactions
The ability to tailor the hop** interactions between the constituent elements of a physical
system could enable the observation of unusual phenomena that are otherwise inaccessible …
system could enable the observation of unusual phenomena that are otherwise inaccessible …
Microwave realization of the Gaussian symplectic ensemble
Following an idea by Joyner et al.[Europhys. Lett. 107, 50004 (2014)], a microwave graph
with an antiunitary symmetry T obeying T 2=-1 is realized. The Kramers doublets expected …
with an antiunitary symmetry T obeying T 2=-1 is realized. The Kramers doublets expected …
Microwave studies of the spectral statistics in chaotic systems
HJ Stöckmann, U Kuhl - Journal of Physics A: Mathematical and …, 2022 - iopscience.iop.org
An overview over the microwave studies of chaotic systems is presented, performed by the
authors and their co-workers in Marburg and Nice. In an historical overview the impact of …
authors and their co-workers in Marburg and Nice. In an historical overview the impact of …
Impedance statistics of cable networks that model quantum graphs
We present the theoretical framework required to describe the statistics of microwave
networks that serve to model quantum graphs. The networks are described by impedance …
networks that serve to model quantum graphs. The networks are described by impedance …
Spectra and spectral correlations of microwave graphs with symplectic symmetry
Following an idea by Joyner et al.[Europhys. Lett. 107, 50004 (2014) EULEEJ 0295-5075
10.1209/0295-5075/107/50004], a microwave graph with antiunitary symmetry T obeying T …
10.1209/0295-5075/107/50004], a microwave graph with antiunitary symmetry T obeying T …
Spectral duality in graphs and microwave networks
Quantum graphs and their experimental counterparts, microwave networks, are ideally
suited to study the spectral statistics of chaotic systems. The graph spectrum is obtained from …
suited to study the spectral statistics of chaotic systems. The graph spectrum is obtained from …
Quotients of graph operators by symmetry representations
A finite dimensional operator that commutes with some symmetry group admits quotient
operators, which are determined by the choice of associated representation. Taking the …
operators, which are determined by the choice of associated representation. Taking the …
Closed and open superconducting microwave waveguide networks as a model for quantum graphs
We report on high-precision measurements that were performed with superconducting
waveguide networks with the geometry of a tetrahedral and a honeycomb graph. They …
waveguide networks with the geometry of a tetrahedral and a honeycomb graph. They …
Experimental Realization of Anti‐Unitary Wave‐Chaotic Photonic Topological Insulator Graphs Showing Kramers Degeneracy and Symplectic Ensemble Statistics
Working in analogy with topological insulators in condensed matter, photonic topological
insulators (PTI) have been experimentally realized, and protected electromagnetic edge …
insulators (PTI) have been experimentally realized, and protected electromagnetic edge …
Application of quotient graph theory to three-edge star graphs
V Ježek, J Lipovský - arxiv preprint arxiv:2108.05253, 2021 - arxiv.org
We apply the quotient graph theory described by Band, Berkolaiko, Joyner and Liu to
particular graphs symmetric with respect to $ S_3 $ and $ C_3 $ symmetry groups. We find …
particular graphs symmetric with respect to $ S_3 $ and $ C_3 $ symmetry groups. We find …