71 citations · 752 across the 67 of their papers we have counts for
6 papers · 1 filter
Interacting bosons in a double-well potential : localization regime
Nicolas Rougerie, Dominique Spehner
We study the ground state of a large bosonic system trapped in a symmetric double-well potential, letting the distance between the two wells increase to infinity with the number of…
Local density approximation for the almost-bosonic anyon gas
Michele Correggi, Douglas Lundholm, Nicolas Rougerie
We study the minimizers of an energy functional with a self-consistent magnetic field, which describes a quantum gas of almost-bosonic anyons in the average-field approximation. Fo…
Rigidity of the Laughlin liquid
Elliott Lieb, Nicolas Rougerie, Jakob Yngvason
We consider general N-particle wave functions that have the form of a product of the Laughlin state with filling factor and an analytic function of the N variables. This i…
Some contributions to many-body quantum mathematics
Nicolas Rougerie
The results summarized here are intended as rigorous mathematical statements on various physical models coming from condensed matter physics, statistical mechanics (classical and q…
Bose Gases at Positive Temperature and Non-Linear Gibbs Measures
Mathieu Lewin, Phan Thành Nam, Nicolas Rougerie
We summarize recent results on positive temperature equilibrium states of large bosonic systems. The emphasis will be on the connection between bosonic grand-canonical thermal stat…
Emergence of fractional statistics for tracer particles in a Laughlin liquid
Douglas Lundholm, Nicolas Rougerie
We consider a thought experiment where two distinct species of 2D particles in a perpendicular magnetic field interact via repulsive potentials. If the magnetic field and the inter…