Quantum simulation of disordered systems with cold atoms

JC Garreau - Comptes Rendus. Physique, 2017 - comptes-rendus.academie-sciences …
This paper reviews the physics of quantum disorder in relation with a series of experiments
using laser-cooled atoms exposed to “kicks” of a standing wave, realizing a paradigmatic …

Observation of the Anderson metal-insulator transition with atomic matter waves: Theory and experiment

G Lemarié, J Chabé, P Szriftgiser, JC Garreau… - Physical Review A …, 2009 - APS
Using a cold atomic gas exposed to laser pulses—a realization of the chaotic quasiperiodic
kicked rotor with three incommensurate frequencies—we study experimentally and …

Disorder and interference: localization phenomena

CA Müller, D Delande - arXiv preprint arXiv:1005.0915, 2010 - arxiv.org
arXiv:1005.0915v3 [cond-mat.dis-nn] 1 Jun 2016 Page 1 Disorder and interference: localization
phenomena Cord A. Müller∗ and Dominique Delande† Chapter 9 in: “Les Houches 2009 …

Proposal of a cold-atom realization of quantum maps with Hofstadter's butterfly spectrum

J Wang, J Gong - Physical Review A—Atomic, Molecular, and Optical …, 2008 - APS
Quantum systems with Hofstadter's butterfly spectrum are of fundamental interest to many
research areas. Based upon slight modifications of existing cold-atom experiments, a cold …

Phase diagram of the anisotropic Anderson transition with the atomic kicked rotor: theory and experiment

M Lopez, JF Clément, G Lemarié… - New Journal of …, 2013 - iopscience.iop.org
We realize experimentally a cold-atom system, the quasiperiodic kicked rotor, equivalent to
the three-dimensional Anderson model of disordered solids where the anisotropy between …

Quasilocalization dynamics in a Fibonacci quantum rotor

S Bhattacharjee, S Bandyopadhyay, A Dutta - Physical Review A, 2022 - APS
We analyze the dynamics of a quantum kicked rotor (QKR) driven with a binary Fibonacci
sequence of two distinct drive amplitudes. While the dynamics at low drive frequencies is …

Floquet engineering with spatially non-uniform driving fields

ST Schindler, HH Sheinfux - arXiv preprint arXiv:2311.00845, 2023 - arxiv.org
In Floquet engineering, we apply a time-periodic modulation to change the effective
behavior of a wave system. In this work, we generalize Floquet engineering to exploit spatial …

Chaotic ratchet dynamics with cold atoms in a pair of pulsed optical lattices

GG Carlo, G Benenti, G Casati, S Wimberger… - Physical Review A …, 2006 - APS
We present a very simple model for realizing directed transport with cold atoms in a pair of
periodically flashed optical lattices. The origin of this ratchet effect is explained and its …

Non-Hermitian transport of kicked atoms in an optical ratchet potential

KS Suraj, A Kenfack, CA Akosa, G Tatara - Optics Communications, 2024 - Elsevier
We study the effect of a non-Hermitian kicking of a cold atom in an optical ratchet at quantum
resonance. The system exhibits rich dynamics with this non-Hermiticity λ and the kicking …

Kicked-rotor quantum resonances in position space

M Lepers, V Zehnlé, JC Garreau - Physical Review A—Atomic, Molecular, and …, 2008 - APS
We present an approach of the kicked-rotor quantum resonances in position space, based
on its analogy with the optical Talbot effect. This leads to a very simple picture of the physical …