Random-matrix theory of quantum transport

CWJ Beenakker - Reviews of modern physics, 1997 - APS
This is a review of the statistical properties of the scattering matrix of a mesoscopic system.
Two geometries are contrasted: A quantum dot and a disordered wire. The quantum dot is a …

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 …

Quantum chaos

HJ Stöckmann - Quantum Chaos, 2007 - ui.adsabs.harvard.edu
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Quantum Chaos Stöckmann, Hans-Jürgen Abstract Preface; 1. Introduction; 2. Billiard …

Riemannian symmetric superspaces and their origin in random‐matrix theory

MR Zirnbauer - Journal of Mathematical Physics, 1996 - pubs.aip.org
Gaussian random‐matrix ensembles defined over the tangent spaces of the large families of
Cartan's symmetric spaces are considered. Such ensembles play a central role in …

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 …

Statistics of resonance poles, phase shifts and time delays in quantum chaotic scattering: Random matrix approach for systems with broken time-reversal invariance

YV Fyodorov, HJ Sommers - Journal of Mathematical Physics, 1997 - pubs.aip.org
Assuming the validity of random matrices for describing the statistics of a closed chaotic
quantum system, we study analytically some statistical properties of the S-matrix …

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 …

Scattering, reflection and impedance of waves in chaotic and disordered systems with absorption

YV Fyodorov, DV Savin… - Journal of Physics A …, 2005 - iopscience.iop.org
We review recent progress in analysing wave scattering in systems with both intrinsic chaos
and/or disorder and internal losses, when the scattering matrix is no longer unitary. By …

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 …