Power spectrum analysis and missing level statistics of microwave graphs with violated time reversal invariance
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 …
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
Modern electronic systems operate in complex electromagnetic environments and must
handle noise and unwanted coupling. The capability to isolate or reject unwanted signals for …
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
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 …
incomplete spectra of quantum systems with symplectic symmetry and a chaotic dynamics in …
[HTML][HTML] Nonperturbative theory of power spectrum in complex systems
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 …
has emerged as a useful tool for studying their internal dynamics. In this paper, we formulate …
Hearing Euler characteristic of graphs
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 …
and geometrical characteristics of a metric graph. Here| V| and| E| denote the number of …
Edge switch transformation in microwave networks
We investigated the spectra of resonances of four-vertex microwave networks simulating
both quantum graphs with preserved and with partially violated time-reversal invariance …
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
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 …
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
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 …
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
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 …
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 …
be consistent with those obtained from random matrices. However, this relation between the …