Inhomogeneities and temperature effects in Bose-Einstein condensates | Vidéo | Carmin.tv

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Inhomogeneities and temperature effects in Bose-Einstein condensates

De Anne de Bouard

Apparaît dans les collections : New challenges in mathematical modelling and numerical simulation of superfluids / Nouveaux défis dans la modélisation mathématique et la simulation numérique de systèmes superfluides, Exposés de recherche

We will review in this talk some mathematical results concerning stochastic models used by physicist to describe BEC in the presence of fluctuations (that may arise from inhomogeneities in the confinement parameters), or BEC at finite temperature. The results describe the effect of those fluctuations on the structures - e.g. vortices - which are present in the deterministic model, or the convergence to equilibrium in the models at finite temperature. We will also describe the numerical methods which have been developed for those models in the framework of the ANR project Becasim. These are joint works with Reika Fukuizumi, Arnaud Debussche, and Romain Poncet.

Informations sur la vidéo

Date de captation 28/06/2016
Date de publication 15/07/2016
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19008603
Citer cette vidéo de Bouard, Anne (28/06/2016). Inhomogeneities and temperature effects in Bose-Einstein condensates. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19008603
URL https://dx.doi.org/10.24350/CIRM.V.19008603

Domaine(s)

Bibliographie

de Bouard, A., & Fukuizumi, R. (2007). Stochastic fluctuations in the Gross-Pitaevskii equation. Nonlinearity, 20(12), 2823-2844 - http://dx.doi.org/10.1088/0951-7715/20/12/005
de Bouard, A., & Fukuizumi, R. (2012). Representation formula for stochastic Schrödinger evolution equations and applications, Nonlinearity, 25(11), 2993-3022 - http://dx.doi.org/10.1088/0951-7715/25/11/2993
de Bouard, A., Fukuizumi, R., & Debussche, A. (In preparation). Convergence to equilibrium in BEC
Garnier, J., Abdullaev, F.Kh., & Baizakov, B.B. (2004). Collapse of a Bose-Einstein condensate induced by fluctuations of the laser intensity. Physical Review A, 69(5), 053607 - http://journals.aps.org/pra/abstract/10.1103/PhysRevA.69.053607
Poncet, R., Fukuizumi, R., & de Bouard, A. (2015). Vortex solutions in Bose-Einstein condensation under a trapping potential varying randomly in time. Discrete and Continuous Dynamical Systems. Series B, 20(9), 2793-2817 - http://dx.doi.org/10.3934/dcdsb.2015.20.2793
Weiler, C.N., Neely, T.W., Scherer, D.R., Bradley, A.S., Davis, M.J., & Anderson, B.P. (2008). Spontaneous vortices in the fluctuations of Bose-Einstein condensates, Nature, 455, 948-951 - http://dx.doi.org/10.1038/nature07334

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