| Issue |
ESAIM: ProcS
Volume 61, 2018
43-ème Congrès National d'Analyse Numérique, CANUM2016
|
|
|---|---|---|
| Page(s) | 55 - 67 | |
| DOI | https://doi.org/10.1051/proc/201861055 | |
| Published online | 12 October 2018 | |
Fluctuations and temperature effects in bose-einstein condensation★
1
CMAP, Ecole polytechnique, CNRS, Université Paris-Saclay, 91128, Palaiseau, France
2
IRMAR, ENS Rennes, CNRS, UEB. av. Robert Schuman, F-35170 Bruz, France
3
Research Center for Pure and Applied Mathematics, Graduate School of Information Sciences, Tohoku University, Sendai 980-8579, Japan
4
CMAP, Ecole polytechnique, CNRS, Université Paris-Saclay, 91128, Palaiseau, France
The modeling of cold atoms systems has known an increasing interest in the theoretical physics community, after the first experimental realizations of Bose Einstein condensates, some twenty years ago. We here review some analytical and numerical results concerning the influence of fluctua-tions, either arising from fluctuations of the confining parameters, or due to temperature effects, in the models describing the dynamics of such condensates.
Résumé
Depuis les premières réalisations expérimentales de condensats de Bose-Einstein, il y a maintenant plus de vingt ans, l’étude des sytèmes d’atomes froids a connu une forte croissance dans la communauté des physiciens théoriciens. Nous décrivons ici certains résultats mathématiques et numériques concernant la prise en compte de uctuations, qui peuvent être dues aux paramètres du laser utilisé pour le confinement des atomes, ou aux effets de la température lorsque celle-ci est proche de la température critique de condensation, dans les modèles régissant la dynamique de ces condensats.
© EDP Sciences, SMAI 2018
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