Quantum simulation of disordered systems with cold atoms

Jean-Claude Garreau

doi:10.1016/j.crhy.2016.09.002

Prix Leconte 2015 de l'Académie des sciences

Quantum simulation of disordered systems with cold atoms
[Simulation quantique de systèmes désordonnés avec des atomes froids]

Jean-Claude Garreau ¹

¹ Université de Lille, CNRS, UMR 8523, PhLAM – Laboratoire de physique des lasers, atomes et molécules, 59000 Lille, France

Comptes Rendus. Physique, Prizes of the French Academy of Sciences 2015 / Prix de l'Académie des sciences 2015, Volume 18 (2017) no. 1, pp. 31-46.

Résumé
Abstract

Cet article discute la physique du désordre quantique en relation avec une série d'expériences utilisant des atomes refroidis par laser soumis à des pulses d'une onde stationnaire. On réalise ainsi un modèle paradigmatique du chaos quantique, le « rotateur frappé » (kicked rotor en anglais). Ce système dynamique peut être mappé sur un Hamiltonien de type « liaisons fortes » avec pseudo-désordre, qui s'avère être formellement équivalent au modèle d'Anderson du désordre quantique, où le chaos quantique joue le rôle du désordre. On obtient un très bon simulateur quantique de la physique décrite par le modèle d'Anderson.

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 model of quantum chaos, the kicked rotor. This dynamical system can be mapped onto a tight-binding Hamiltonian with pseudo-disorder, formally equivalent to the Anderson model of quantum disorder, with quantum chaos playing the role of disorder. This provides a very good quantum simulator for the Anderson physics.

Publié le : 2016-10-13

DOI : 10.1016/j.crhy.2016.09.002

Keywords: Anderson localization, Kicked rotor, Quantum chaos, Ultracold atoms, Quantum simulation
Mots-clés : Localisation d'Anderson, Rotateur frappé, Chaos quantique, Atomes ultra-froids, Simulation quantique

Affiliations des auteurs :

Jean-Claude Garreau ¹

¹ Université de Lille, CNRS, UMR 8523, PhLAM – Laboratoire de physique des lasers, atomes et molécules, 59000 Lille, France

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Jean-Claude Garreau. Quantum simulation of disordered systems with cold atoms. Comptes Rendus. Physique, Prizes of the French Academy of Sciences 2015 / Prix de l'Académie des sciences 2015, Volume 18 (2017) no. 1, pp. 31-46. doi : 10.1016/j.crhy.2016.09.002. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2016.09.002/

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