quantum mechanics, Bose-Einstein condensates, Gross-Pitaevskii equation, numerical methods, scientific computing, quantum turbulence
The aim of the Ph.D. thesis is to develop some new numerical methods to simulate Bose-Einstein condensates that play a crucial role in quantum mechanics for its future applications (e.g. quantum computers). These numerical methods will be developped for both stationnary states and for the dynamics of the wave function, in dimensions 2 and 3. In particular, we will consider the multi-components case and the integration of nonlocal nonlinear interactions. The implementation of the methods will be made in Python first and then integrated in the BEC2HPC parallel solver to provide efficient methods for physics applications. Finally, applications will be considered at the end of the Ph.D.
We are hiring a Ph.D. student with good knowledges in applied mathematics, computational physics, scientific computing. A second-year master degree in applied mathematics or related topic is necessary to start the Ph.D thesis. Part of the time of the Ph.D. thesis will be devoted to learn tools that are required to succeed during the Ph.D.. Any question can be sent to the two advisors for further specific information. The applicant must also be able to speak and write correctly in english for the scientific production and the discussions with the two advisors. French or chinese is a plus but is not mandatory.
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|Intitulé||LUE - Méthodes numériques rapides et précises pour la simulation haute performance des condensats de Bose-Einstein|
|Employeur||Lorraine Université d'Excellence (LUE)|
|Job location||34 Cours Léopold, 54000 Nancy|
|Publié||avril 21, 2021|
|Date limite d'inscription||juin 19, 2021|
|Types d'emploi||PhD  |
|Domaines de recherche :||Mathématiques appliquées,   Théorie des nombres,   Physique numérique,   Physique quantique,   Mécanique,   Mathématiques informatiques  |