71 citations · 752 across the 67 of their papers we have counts for
4 papers · 2 filters
Incompressibility estimates for the Laughlin phase, part II
Nicolas Rougerie, Jakob Yngvason
We consider fractional quantum Hall states built on Laughlin's original N-body wave-functions, i.e., they are of the form holomorphic times gaussian and vanish when two particles c…
Derivation of nonlinear Gibbs measures from many-body quantum mechanics
Mathieu Lewin, Phan Thành Nam, Nicolas Rougerie
We prove that nonlinear Gibbs measures can be obtained from the corresponding many-body, grand-canonical, quantum Gibbs states, in a mean-field limit where the temperature T diverg…
Boundary Behavior of the Ginzburg-Landau Order Parameter in the Surface Superconductivity Regime
M. Correggi, N. Rougerie
We study the 2D Ginzburg-Landau theory for a type-II superconductor in an applied magnetic field varying between the second and third critical value. In this regime the order param…
The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases
Mathieu Lewin, Phan Thành Nam, Nicolas Rougerie
We study the ground state of a trapped Bose gas, starting from the full many-body Schr{ö}dinger Hamiltonian, and derive the nonlinear Schr{ö}dinger energy functional in the limit o…