71 citations · 752 across the 67 of their papers we have counts for
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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…
Incompressibility Estimates for the Laughlin Phase
Nicolas Rougerie, Jakob Yngvason
This paper has its motivation in the study of the Fractional Quantum Hall Effect. We consider 2D quantum particles submitted to a strong perpendicular magnetic field, reducing admi…