71 citations · 752 across the 67 of their papers we have counts for
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Limites de champ moyen bosoniques {à} temp{é}rature positive
Nicolas Rougerie
I present recent results in quantum statistical mechanics, obtained in joint works with Mathieu Lewin and Phan Th{à}nh Nam. We consider a certain mean-field limit of the grand-cano…
Classical field theory limit of many-body quantum Gibbs states in 2D and 3D
Mathieu Lewin, Phan Thành Nam, Nicolas Rougerie
We provide a rigorous derivation of nonlinear Gibbs measures in two and three space dimensions, starting from many-body quantum systems in thermal equilibrium. More precisely, we p…
On the stability of 2D dipolar Bose-Einstein condensates
Arnaud Eychenne, Nicolas Rougerie
We study the existence of energy minimizers for a Bose-Einstein condensate with dipole-dipole interactions, tightly confined to a plane. The problem is critical in that the kinetic…
The interacting 2D Bose gas and nonlinear Gibbs measures
Mathieu Lewin, Phan Thành Nam, Nicolas Rougerie
We announce a new theorem bearing on high-temperature 2D Bose gases. In a certain mean-field-like regime, the grand-canonical quantum Gibbs state reduces to a nonlinear Gibbs measu…
Blow-up profile of rotating 2D focusing Bose gases
Mathieu Lewin, Phan Thành Nam, Nicolas Rougerie
We consider the Gross-Pitaevskii equation describing an attractive Bose gas trapped to a quasi 2D layer by means of a purely harmonic potential, and which rotates at a fixed speed…