Disordered quantum gases under control

L Sanchez-Palencia, M Lewenstein - Nature Physics, 2010 - nature.com
When attempting to understand the role of disorder in condensed-matter physics, we face
considerable experimental and theoretical difficulties, and many questions are still open …

Anderson localization in Bose–Einstein condensates

G Modugno - Reports on progress in physics, 2010 - iopscience.iop.org
The understanding of disordered quantum systems is still far from being complete, despite
many decades of research on a variety of physical systems. In this review we discuss how …

Direct observation of Anderson localization of matter waves in a controlled disorder

J Billy, V Josse, Z Zuo, A Bernard, B Hambrecht… - Nature, 2008 - nature.com
In 1958, Anderson predicted the localization 1 of electronic wavefunctions in disordered
crystals and the resulting absence of diffusion. It is now recognized that Anderson …

Nonlinear waves in Bose–Einstein condensates: physical relevance and mathematical techniques

R Carretero-González, DJ Frantzeskakis… - …, 2008 - iopscience.iop.org
The aim of this review is to introduce the reader to some of the physical notions and the
mathematical methods that are relevant to the study of nonlinear waves in Bose–Einstein …

Lieb-Liniger bosons in a shallow quasiperiodic potential: Bose glass phase and fractal Mott lobes

H Yao, T Giamarchi, L Sanchez-Palencia - Physical review letters, 2020 - APS
The emergence of a compressible insulator phase, known as the Bose glass, is
characteristic of the interplay of interactions and disorder in correlated Bose fluids. While …

Observation of two-dimensional Anderson localisation of ultracold atoms

DH White, TA Haase, DJ Brown… - Nature …, 2020 - nature.com
Anderson localisation—the inhibition of wave propagation in disordered media—is a
surprising interference phenomenon which is particularly intriguing in two-dimensional (2D) …

Cold atoms in the presence of disorder

B Shapiro - Journal of Physics A: Mathematical and Theoretical, 2012 - iopscience.iop.org
The review deals with the physics of cold atomic gases in the presence of disorder. The
emphasis is on the theoretical developments, although several experiments are also briefly …

General approach to the critical phase with coupled quasiperiodic chains

X Lin, X Chen, GC Guo, M Gong - Physical Review B, 2023 - APS
In disordered systems, wave functions in the Schrödinger equation may exhibit a transition
from the extended phase to the localized phase, in which the states at the boundaries or …

Anderson localization of elementary excitations in disordered binary Bose mixtures: Effects of the Lee-Huang-Yang quantum and thermal corrections

M Zohra, A Boudjemâa - Physical Review A, 2024 - APS
We investigate analytically and numerically the Anderson localization of quasiparticles in
binary Bose mixtures in the presence of the Lee-Huang-Yang quantum and thermal …

Bose–Einstein condensates in disordered potentials

L Fallani, C Fort, M Inguscio - Advances in atomic, molecular, and optical …, 2008 - Elsevier
The interplay between disorder and interactions is a leit-motiv of condensed-matter physics,
since it constitutes the driving mechanism of the metal–insulatormetal–insulator transition …