Non-hermitian physics

Y Ashida, Z Gong, M Ueda - Advances in Physics, 2020 - Taylor & Francis
A review is given on the foundations and applications of non-Hermitian classical and
quantum physics. First, key theorems and central concepts in non-Hermitian linear algebra …

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 …

Time-reversed lasing and interferometric control of absorption

W Wan, Y Chong, L Ge, H Noh, AD Stone, H Cao - Science, 2011 - science.org
In the time-reversed counterpart to laser emission, incident coherent optical fields are
perfectly absorbed within a resonator that contains a loss medium instead of a gain medium …

Statistics of energy levels and eigenfunctions in disordered systems

AD Mirlin - Physics Reports, 2000 - Elsevier
The article reviews recent developments in the theory of fluctuations and correlations of
energy levels and eigenfunction amplitudes in diffusive mesoscopic samples. Various …

Conductance fluctuations and chaotic scattering in ballistic microstructures

CM Marcus, AJ Rimberg, RM Westervelt, PF Hopkins… - Physical review …, 1992 - APS
We report detailed measurements of the low-temperature magnetoconductance in ballistic
microstructures in the shape of a ''chaotic''stadium and a circle with quantum-point-contact …

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 effects in Coulomb blockade

IL Aleiner, PW Brouwer, LI Glazman - Physics Reports, 2002 - Elsevier
We review the quantum interference effects in a system of interacting electrons confined to a
quantum dot. The review starts with a description of an isolated quantum dot. We discuss the …

[BOOK][B] Quantum Transport in Mesoscopic Systems: Complexity and Statistical Fluctuations. A Maximum Entropy Viewpoint

PA Mello, N Kumar - 2004 - books.google.com
The aim of this book is to present a statistical theory of wave scattering by complex systems-
systems which have a chaotic classical dynamics, as in the case of microwave cavities and …

Mesoscopic transport through chaotic cavities: A random S-matrix theory approach

HU Baranger, PA Mello - Physical review letters, 1994 - APS
We deduce the effects of quantum interference on the conductance of chaotic cavities by
using a statistical ansatz for the S matrix. Assuming that the circular ensembles describe the …