71 citations · 752 across the 67 of their papers we have counts for
6 papers · 1 filter
Effects of boundary curvature on surface superconductivity
Michele Correggi, Nicolas Rougerie
We investigate, within 2D Ginzburg-Landau theory, the ground state of a type-II superconducting cylinder in a parallel magnetic field varying between the second and third critical…
A note on 2D focusing many-boson systems
Mathieu Lewin, Phan Thành Nam, Nicolas Rougerie
We consider a 2D quantum system of bosons in a trapping potential , interacting via a pair potential of the form . We show that for all $0 \textless{}…
From Bosonic Grand-Canonical Ensembles to Nonlinear Gibbs Measures
Nicolas Rougerie
In a recent paper, in collaboration with Mathieu Lewin and Phan Th{à}nh Nam, we showed that nonlinear Gibbs measures based on Gross-Pitaevskii like functionals could be derived fro…
De Finetti theorems, mean-field limits and Bose-Einstein condensation
Nicolas Rougerie
These notes deal with the mean-field approximation for equilibrium states of N-body systems in classical and quantum statistical mechanics. A general strategy for the justification…
The Average Field Approximation for Almost Bosonix Extended Anyons
Douglas Lundholm, Nicolas Rougerie
Anyons are 2D or 1D quantum particles with intermediate statistics, interpolating between bosons and fermions. We study the ground state of a large number N of 2D anyons, in a scal…
Ground states of large bosonic systems: The gross-pitaevskii limit revisited
Phan Thành Nam, Nicolas Rougerie, Robert Seiringer
We study the ground state of a dilute Bose gas in a scaling limit where the Gross-Pitaevskii functional emerges. This is a repulsive non-linear Schrödinger functional whose quartic…