Random-matrix theories in quantum physics: common concepts

T Guhr, A Müller–Groeling, HA Weidenmüller - Physics Reports, 1998 - Elsevier
We review the development of random-matrix theory (RMT) during the last fifteen years. We
emphasize both the theoretical aspects, and the application of the theory to a number of …

The statistical theory of quantum dots

Y Alhassid - Reviews of Modern Physics, 2000 - APS
A quantum dot is a sub-micron-scale conducting device containing up to several thousand
electrons. Transport through a quantum dot at low temperatures is a quantum-coherent …

Random matrices and chaos in nuclear physics: Nuclear structure

HA Weidenmüller, GE Mitchell - Reviews of Modern Physics, 2009 - APS
Evidence for the applicability of random-matrix theory to nuclear spectra is reviewed. In
analogy to systems with few degrees of freedom, one speaks of chaos (more accurately …

Random matrices and chaos in nuclear physics: Nuclear reactions

GE Mitchell, A Richter, HA Weidenmüller - Reviews of Modern Physics, 2010 - APS
The application of random-matrix theory (RMT) to compound-nucleus (CN) reactions is
reviewed. An introduction into the basic concepts of nuclear scattering theory is followed by …

Random matrix theories and chaotic dynamics

O Bohigas - 1991 - inis.iaea.org
The aim of these lectures is to present a résumé of some of the main ideas, assumptions and
results of the Wigner-Dyson type random matrix theories (RMT) which are relevant in the …

Statistical properties of many-particle spectra V. Fluctuations and symmetries

JB French, VKB Kota, A Pandey, S Tomsovic - Annals of Physics, 1988 - Elsevier
The manner in which energy-level and strength fluctuations change as a good symmetry is
gradually broken is studied for a wide variety of chaotic systems describable in terms of …

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 …

Quantum chaotic scattering in microwave resonators

B Dietz, T Friedrich, HL Harney, M Miski-Oglu… - Physical Review E …, 2010 - APS
In a frequency range where a microwave resonator simulates a chaotic quantum billiard, we
have measured moduli and phases of reflection and transmission amplitudes in the regimes …

Isospin mixing and spectral fluctuation properties

T Guhr, HA Weidenmüller - Annals of Physics, 1990 - Elsevier
The breaking of isospin symmetry influences the statistical spectral fluctuations
considerably, as shown by a recent experimental analysis of the low energy spectrum of 26 …

Experimental test of the Rosenzweig-Porter model for the transition from Poisson to Gaussian unitary ensemble statistics

X Zhang, W Zhang, J Che, B Dietz - Physical Review E, 2023 - APS
We report on an experimental investigation of the transition of a quantum system with
integrable classical dynamics to one with violated time-reversal (T) invariance and chaotic …