Anderson transitions

F Evers, AD Mirlin - Reviews of Modern Physics, 2008 - APS
The physics of Anderson transitions between localized and metallic phases in disordered
systems is reviewed. The term “Anderson transition” is understood in a broad sense …

Light fields in complex media: Mesoscopic scattering meets wave control

S Rotter, S Gigan - Reviews of Modern Physics, 2017 - APS
The newly emerging field of wave front sha** in complex media has recently seen
enormous progress. The driving force behind these advances has been the experimental …

Theory of localization-hindered thermalization in nonlinear multimode photonics

AY Ramos, C Shi, LJ Fernández-Alcázar… - Communications …, 2023 - nature.com
Our society's appetite for ultra-high bandwidth communication networks and high-power
optical sources, together with recent breakthroughs in mode multiplexing/demultiplexing …

Exact relations between multifractal exponents at the Anderson transition

AD Mirlin, YV Fyodorov, A Mildenberger, F Evers - Physical review letters, 2006 - APS
Two exact relations between mutlifractal exponents are shown to hold at the critical point of
the Anderson localization transition. The first relation implies a symmetry of the multifractal …

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 …

Statistics of resonances and delay times in random media: beyond random matrix theory

T Kottos - Journal of Physics A: Mathematical and General, 2005 - iopscience.iop.org
We review recent developments in quantum scattering from mesoscopic systems. Various
spatial geometries whose closed analogues show diffusive, localized or critical behaviour …

Resonance scattering of waves in chaotic systems

YV Fyodorov, DV Savin - arxiv preprint arxiv:1003.0702, 2010 - arxiv.org
Resonance Scattering of Waves in Chaotic Systems Page 1 arxiv:1003.0702v1 [cond-mat.mes-hall]
2 Mar 2010 Chapter 34 Resonance Scattering of Waves in Chaotic Systems YV Fyodorov1 …

Complexity in parametric Bose-Hubbard Hamiltonians and structural analysis of eigenstates

M Hiller, T Kottos, T Geisel - Physical Review A—Atomic, Molecular, and …, 2006 - APS
We consider a family of chaotic Bose-Hubbard Hamiltonians parametrized by the coupling
strength k between neighboring sites. As k increases the eigenstates undergo changes …

Wave-packet dynamics in energy space of a chaotic trimeric Bose-Hubbard system

M Hiller, T Kottos, T Geisel - Physical Review A—Atomic, Molecular, and …, 2009 - APS
We study the energy redistribution of interacting bosons in a ring-shaped quantum trimer as
the coupling strength between neighboring sites of the corresponding Bose-Hubbard …

Scattering and transport properties of the three classical Wigner-Dyson ensembles at the Anderson transition

AM Martínez-Argüello, M Carrera-Núñez… - Physical Review E, 2023 - APS
An extensive numerical analysis of the scattering and transport properties of the power-law
banded random matrix model (PBRM) at criticality in the presence of orthogonal, unitary …