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11-11 Dec 2025 Paris (France)
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AbstractsJean Dalibard (Collège de France, Paris) Ultracold Atomic Gases: A Tunable Laboratory for Soliton Physics Patrick Gérard (Laboratoire de Mathématiques d'Orsay, Université Paris-Saclay) Solitons and long time dynamics of some integrable equations Quentin Glorieux (Laboratoire Kastler Brossel, Sorbonne Université) Paraxial fluids of light: an experimental platform for nonlinear Schrödinger dynamics I will present paraxial fluids of light (laser beams propagating in non-linear hot atomic vapors) as an experimental realization of the two-dimensional defocusing NLS, where both density and phase of the field are accessible. This platform allows for quantitative studies of nonlinear structures including Jones–Roberts solitons and their dipole-rarefaction wave transitions, dispersive shock waves, leapfrogging vortex dynamics, vacuum points, limit cycle and bifurcations.
These observations provide a potential bridge between mathematical results on stability and modulation theory, and the dynamics of a physical system.
Philippe Gravejat (CY Cergy Paris Université) Solitonic vortices for the Gross-Pitaevskii equation in a strip The talk deals with the Gross-Pitaevskii equation in a two-dimensional strip following experiments in fermions and bosons, and numerical simulations showing evidence of solitons and solitonic vortices. A mathematical question is to construct solutions. This is joint work with André de Laire (University of Lille) and Didier Smets (Sorbonne University) on the one hand, and with Amandine Aftalion (CNRS and University Paris Saclay) and Étienne Sandier (Paris-East Créteil University) on the other hand. Antonio Munoz Mateo (Universidad de la Laguna, Tenerife) Solitary waves in confined superfluids Luc Nguyen (Oxford University) Hélène Perrin (CNRS et Université Sorbonne Paris Nord) Dynamics of one-dimensional Bose gases: a model physical system for the nonlinear Schrödinger equation Giacomo Roati (CNR-INO and LENS, University of Florence) Vortex dynamics in strongly interacting Fermi superfluids We investigate vortex matter in strongly interacting Fermi superfluids of ultracold atoms. By engineering vortex configurations on demand and by tracking vortex trajectories with high spatial resolution, we establish an ideal quantum laboratory for probing the fundamental mechanisms underlying vortex-driven instabilities and dissipation. Our approach opens the door to new insights into vortex-matter phenomena in strongly correlated superfluids. Frédéric Rousset (Laboratoire de Mathématiques d'Orsay, Université Paris-Saclay) Transverse stability and instability of solitary waves We will be interested in studying the stability of a one-dimensional solitary wave submitted to multi-dimensional perturbations (periodic or localized) in Hamiltonian partial differential equations. We will present a general criterion for linear instability and discuss it on various physical examples: Gross-Pitaevskii, water-waves, plasma models...
ROUND TABLE Jérome Beugnon (Collège de France) Multi-solitons in two-component ultracold gases Alberto Bramati (Laboratoire Kastler Brossel, Sorbonne Université) Quantum fluids of light: superfluidity, dark solitons and more Quantum fluids of ligth are an ideal playground to study superfluidity, quantized vortices, dark solitons and more generally quantum phase transition in intrinsically out of equilibrium driven-dissipative systems. I will briefly discuss the specificity of such systems and the potential of quantum fluids of light to investigate the superfluid-supersolid transition.
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