# Transition d'Anderson avec des ondes de matière atomiques

Abstract : In three dimensions, the eigenstates of a quantum particle subject to a disordered potential have a transition, called the Anderson transition, between a delocalized regime at low disorder and a localized regime at high disorder. This localization being due to interference, it is easily perturbed by decoherence or interaction between particles, and is therefore difficult to observe. In this paper, we report our theoretical work which has enabled the first experimental observation of the Anderson transition with atomic matter waves.

A cloud of cold atoms exposed to a quasi-periodically pulsed standing-wave realizes a variant of the Kicked Rotor (a paradigm of quantum chaos), analogous to a 3D Anderson model. However, the thermodynamic limit is not accessible experimentally. Interpreting these constraints as similar to finite size effects, we construct a finite-time scaling method to characterize the transition, giving the first unambiguous experimental determination of the critical exponent $\nu$ of the transition, and to confirm that the quasiperiodic Kicked Rotor belongs to the same universality class as the Anderson model. From the self-consistent theory of localization, we calculate the critical state of the system, prediction found in very good agreement with experimental and numerical data.
Keywords :
Document type :
Theses

https://tel.archives-ouvertes.fr/tel-00424399
Contributor : Gabriel Lemarié <>
Submitted on : Thursday, October 15, 2009 - 3:17:24 PM
Last modification on : Friday, March 22, 2019 - 1:32:43 AM
Document(s) archivé(s) le : Tuesday, October 16, 2012 - 12:20:28 PM

### Identifiers

• HAL Id : tel-00424399, version 1

### Citation

Gabriel Lemarié. Transition d'Anderson avec des ondes de matière atomiques. Physique Atomique [physics.atom-ph]. Université Pierre et Marie Curie - Paris VI, 2009. Français. ⟨tel-00424399⟩

Record views