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 …

On the emergence of the Green's function in the correlations of a diffuse field

OI Lobkis, RL Weaver - 2008 - pubs.geoscienceworld.org
A diffuse acoustic field is shown to have correlations equal to the Green's function of the
body. Simple plausibility arguments for this assertion are followed by a more detailed proof …

Decoherence, entanglement and irreversibility in quantum dynamical systems with few degrees of freedom

P Jacquod, C Petitjean - Advances in Physics, 2009 - Taylor & Francis
In this review we summarize and amplify recent investigations of coupled quantum
dynamical systems with few degrees of freedom in the short-wavelength, semiclassical limit …

Spectral statistics beyond random matrix theory

AV Andreev, BL Altshuler - Physical review letters, 1995 - APS
Using a nonperturbative approach we examine the large frequency asymptotics of the two-
point level density correlator in weakly disordered metallic grains. We find that the …

Tight Binding'methods in quantum transport through molecules and small devices: From the coherent to the decoherent description

HM Pastawski, E Medina - arXiv preprint cond-mat/0103219, 2001 - arxiv.org
We discuss the steady-state electronic transport in solid-state and molecular devices in the
quantum regime. The decimation technique allows a comprehensive description of the …

Mesoscopic fluctuations of eigenfunctions and level-velocity distribution in disordered metals

YV Fyodorov, AD Mirlin - Physical Review B, 1995 - APS
We calculate the distribution of eigenfunction amplitudes and the variance of the inverse
participation ratio (IPR) in disordered metallic samples. A relation is established between the …

Wave chaos in acoustics and elasticity

G Tanner, N Søndergaard - Journal of Physics A: Mathematical …, 2007 - iopscience.iop.org
Interpreting wave phenomena in terms of an underlying ray dynamics adds a new
dimension to the analysis of linear wave equations. Forming explicit connections between …

Robustness of spin-coupling distributions for perfect quantum state transfer

A Zwick, GA Alvarez, J Stolze, O Osenda - Physical Review A—Atomic …, 2011 - APS
The transmission of quantum information between different parts of a quantum computer is
of fundamental importance. Spin chains have been proposed as quantum channels for …

Quantum dynamical echoes in the spin diffusion in mesoscopic systems

HM Pastawski, PR Levstein, G Usaj - Physical review letters, 1995 - APS
The evolution of local spin polarization in finite systems involves interference phenomena
that give rise to quantum dynamical echoes and nonergodic behavior. We predict the …