Nodal portraits of quantum billiards: Domains, lines, and statistics

SR Jain, R Samajdar - Reviews of Modern Physics, 2017 - APS
This is a comprehensive review of the nodal domains and lines of quantum billiards,
emphasizing a quantitative comparison of theoretical findings to experiments. The nodal …

Quantum transport on disordered and noisy networks: an interplay of structural complexity and uncertainty

M Walschaers, F Schlawin, T Wellens… - Annual Review of …, 2016 - annualreviews.org
We discuss recent research on quantum transport in complex materials, from photosynthetic
light-harvesting complexes to photonic circuits. We identify finite, disordered networks as the …

Perfect absorption in complex scattering systems with or without hidden symmetries

L Chen, T Kottos, SM Anlage - Nature communications, 2020 - nature.com
Wavefront sha** (WFS) schemes for efficient energy deposition in weakly lossy targets is
an ongoing challenge for many classical wave technologies relevant to next-generation …

[BOOK][B] Spectral geometry of graphs

P Kurasov - 2024 - library.oapen.org
This open access book gives a systematic introduction into the spectral theory of differential
operators on metric graphs. Main focus is on the fundamental relations between the …

Statistics of Complex Wigner Time Delays as a Counter of -Matrix Poles: Theory and Experiment

L Chen, SM Anlage, YV Fyodorov - Physical Review Letters, 2021 - APS
We study the statistical properties of the complex generalization of Wigner time delay τ W for
subunitary wave-chaotic scattering systems. We first demonstrate theoretically that the mean …

Generalization of Wigner time delay to subunitary scattering systems

L Chen, SM Anlage, YV Fyodorov - Physical Review E, 2021 - APS
We introduce a complex generalization of the Wigner time delay τ for subunitary scattering
systems. Theoretical expressions for complex time delays as a function of excitation energy …

Power spectrum analysis and missing level statistics of microwave graphs with violated time reversal invariance

M Białous, V Yunko, S Bauch, M Ławniczak, B Dietz… - Physical Review Letters, 2016 - APS
We present experimental studies of the power spectrum and other fluctuation properties in
the spectra of microwave networks simulating chaotic quantum graphs with violated time …

Nonuniversality in the spectral properties of time-reversal-invariant microwave networks and quantum graphs

B Dietz, V Yunko, M Białous, S Bauch, M Ławniczak… - Physical Review E, 2017 - APS
We present experimental and numerical results for the long-range fluctuation properties in
the spectra of quantum graphs with chaotic classical dynamics and preserved time-reversal …

Experimental and numerical investigation of parametric spectral properties of quantum graphs with unitary or symplectic symmetry

J Lu, J Che, X Zhang, B Dietz - Physical Review E, 2020 - APS
We present experimental and numerical results for the parametric fluctuation properties in
the spectra of classically chaotic quantum graphs with unitary or symplectic symmetry. A …

Non-Weyl microwave graphs

M Ławniczak, J Lipovský, L Sirko - Physical Review Letters, 2019 - APS
One of the most important characteristics of a quantum graph is the average density of
resonances, ρ=(L/π), where L denotes the length of the graph. This is a very robust measure …