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 …

Wavefront sha** with a tunable metasurface: Creating cold spots and coherent perfect absorption at arbitrary frequencies

BW Frazier, TM Antonsen Jr, SM Anlage, E Ott - Physical Review Research, 2020 - APS
Modern electronic systems operate in complex electromagnetic environments and must
handle noise and unwanted coupling. The capability to isolate or reject unwanted signals for …

Missing-level statistics in classically chaotic quantum systems with symplectic symmetry

J Che, J Lu, X Zhang, B Dietz, G Chai - Physical Review E, 2021 - APS
We present experimental and theoretical results for the fluctuation properties in the
incomplete spectra of quantum systems with symplectic symmetry and a chaotic dynamics in …

[HTML][HTML] Nonperturbative theory of power spectrum in complex systems

R Riser, VA Osipov, E Kanzieper - Annals of Physics, 2020 - Elsevier
The power spectrum analysis of spectral fluctuations in complex wave and quantum systems
has emerged as a useful tool for studying their internal dynamics. In this paper, we formulate …

Hearing Euler characteristic of graphs

M Ławniczak, P Kurasov, S Bauch, M Białous, V Yunko… - Physical Review E, 2020 - APS
The Euler characteristic χ=| V|−| E| and the total length L are the most important topological
and geometrical characteristics of a metric graph. Here| V| and| E| denote the number of …

Edge switch transformation in microwave networks

V Yunko, M Białous, L Sirko - Physical Review E, 2020 - APS
We investigated the spectra of resonances of four-vertex microwave networks simulating
both quantum graphs with preserved and with partially violated time-reversal invariance …

Enhancement factor in the regime of semi-Poisson statistics in a singular microwave cavity

M Białous, L Sirko - Physical Review E, 2022 - APS
We investigated properties of a singular billiard, that is, a quantum billiard which contains a
pointlike (zero-range) perturbation. A singular billiard was simulated experimentally by a …

[HTML][HTML] Power spectrum and form factor in random diagonal matrices and integrable billiards

R Riser, E Kanzieper - Annals of Physics, 2021 - Elsevier
Triggered by a controversy surrounding a universal behavior of the power spectrum in
quantum systems exhibiting regular classical dynamics, we focus on a model of random …

How time-reversal-invariance violation leads to enhanced backscattering with increasing openness of a wave-chaotic system

M Białous, B Dietz, L Sirko - Physical Review E, 2020 - APS
We report on the experimental investigation of the dependence of the elastic enhancement,
ie, enhancement of scattering in the backward direction over scattering in other directions, of …

Symmetry deduction from spectral fluctuations in complex quantum systems

SH Tekur, MS Santhanam - Physical Review Research, 2020 - APS
The spectral fluctuations of complex quantum systems, in an appropriate limit, are known to
be consistent with those obtained from random matrices. However, this relation between the …