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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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
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 …
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 …
have measured moduli and phases of reflection and transmission amplitudes in the regimes …