Many-body localization: An introduction and selected topics

Fabien Alet; Nicolas Laflorencie

doi:10.1016/j.crhy.2018.03.003

Many-body localization: An introduction and selected topics

Fabien Alet ¹; Nicolas Laflorencie ¹

¹ Laboratoire de physique théorique, Université de Toulouse, CNRS, UPS, France

Comptes Rendus. Physique, Volume 19 (2018) no. 6, pp. 498-525.

Abstract
Résumé

What happens in an isolated quantum system when both disorder and interactions are present? Over the recent years, the picture of a non-thermalizing phase of matter, the many-localized phase, has emerged as a stable solution. We present a basic introduction to the topic of many-body localization, using the simple example of a quantum spin chain that allows us to illustrate several of the properties of this phase. We then briefly review the current experimental research efforts probing this physics. The largest part of this review is a selection of more specialized questions, some of which are currently under active investigation. We conclude by summarizing the connections between many-body localization and quantum simulations.

Que se passe-t-il dans un système quantique isolé lorsque celui-ci présente du désordre et des interactions entre particules ? Au cours des dernières années a émergé l'image comme solution stable d'une phase qui ne thermalise pas, la phase localisée à N corps (notre traduction de many-body localization). Nous présentons une introduction simple à la localisation à N corps, à travers l'exemple d'une chaîne de spins quantiques, ce qui permet d'illustrer plusieurs propriétés de cette phase. Nous effectuons ensuite une brève revue des efforts expérimentaux actuels cherchant à sonder cette physique. La plus grande partie de cette revue est consacrée à une sélection de questions plus spécialisées, la plupart actuellement en cours d'études. Nous concluons en résumant les liens entre localisation à N corps et simulations quantiques.

Published online: 2018-04-27

DOI: 10.1016/j.crhy.2018.03.003

Keywords: Many-body localization, Thermalization, Simulations, Entanglement
Mot clés : Localisation à N corps, Thermalisation, Simulations, Intrication

Author's affiliations:

Fabien Alet ¹; Nicolas Laflorencie ¹

¹ Laboratoire de physique théorique, Université de Toulouse, CNRS, UPS, France

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Fabien Alet; Nicolas Laflorencie. Many-body localization: An introduction and selected topics. Comptes Rendus. Physique, Volume 19 (2018) no. 6, pp. 498-525. doi : 10.1016/j.crhy.2018.03.003. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2018.03.003/

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