Winter School

Physics and Mathematics of Bose-Einstein Condensates

24-26 February 2025, Dijon, France

The realization of Quantum Technologies which fully exploit the potential of quantum mechanics remains a major challenge, due to the fragility of quantum states. Bose-Einstein-Condensates are a promising experimental platform for quantum technologies, for instance   quantum simulation and quantum sensing applications. 

The aim of this school was to bring together experimentalists, theoreticians, and mathematicians to provide a broad overview of the current state-of-the-art in this field and of the potential developments in a near future. Emphasis has been placed on the application of quantum control techniques to such systems.

Basic courses dedicated to master’s to doctoral students has been taught by three experts in the field. Short presentations illustrated recent results of original research.

Invited Lecturers

Bruno Peaudecerf, CNRS, Laboratoire Collisions Agrégats Réactivité (LCAR), Université Paul Sabatier, Toulouse.

Course title: Experiments with Bose-Einstein condensates: from atom cooling to quantum control and simulation (lectures here: Lecture 1 / Lecture 2 / Lecture 3).

Eugenio Pozzoli, CNRS, Institut de Recherche Mathématique de Rennes.

Course title: Controllability of Schrödinger equations and application to quantum rotors (lectures here: Lecture 1 / Lecture 2 / Lecture 3).

Marcin Napiórkowski, Assistant Professor, Faculty of Physics, University of Warsaw.

Course title: BEC and effective theories – a mathematical perspective.

Programme

The detailed program and the abstracts can be found here.

Short talks

Monday:

15:00-15:20      Siegfried Spruck              Derivation of the Effective Dynamics for the Bose Polaron (lecture here)
15:25-15:45      Nicolas Ombredane       Optimal Control for Quantum Sensing with Bose-Einstein condensates

Tuesday:

14:00-14:20      Asbjorn Lauritsen           Ground state energies of dilute Fermi gases (lecture here)
14:25-14:45      Jingjun Zhu                       Control of nonlinear quantum systems (lecture here)
14:50-15:10      Adrien Tendani-Soler     Existence and non-existence of travelling waves for a polaron equation
15:15-15:35      Charbel Karam                Ultracold Molecules, from Dilute to Quantum Degenerate Gases (lecture here)
15:40-16:00      Ruikang Liang                  Ensemble control of n-level quantum systems with a scalar control (lecture here)

Organizers

J. Lampart (CNRS), jonas.lampart@u-bourgogne.fr

D. Sugny (UB), dominique.sugny@u-bourgogne.fr

E. Pozzoli (Rennes), eugenio.pozzoli@univ-rennes.fr

This Winter School is supported by the Agence Nationale de la Recherche throught the QuanTEdu France project of the France 2030 programme, the MaBoP project (see here) and the QuCoBEC project, by the Erasmus+ programme of the European Union through the Erasmus Mundus Master QuanTEEM, and by the CNRS through the MITI programme.