71 citations · 752 across the 67 of their papers we have counts for
4 papers · 2 filters
Quantum Hall Phases of Cold Bose Gases
Nicolas Rougerie, Jakob Yngvason
Cold atomic gases of interacting bosons subject to rapid rotation and confined in anharmonic traps can theoretically exhibit analogues of the fractional quantum Hall effect for ele…
A Lieb-Thirring inequality for extended anyons
Théotime Girardot, Nicolas Rougerie
We derive a Pauli exclusion principle for extended fermion-based anyons of any positive radius and any non-trivial statistics parameter. That is, we consider 2D fermionic particles…
Thomas-Fermi profile of a fast rotating Bose-Einstein condensate
Dinh-Thi Nguyen, Nicolas Rougerie
We study the minimizers of a magnetic 2D non-linear Schrödinger energy functional in a quadratic trapping potential, describing a rotating Bose-Einstein condensate. We derive an ef…
Quantum statistics transmutation via magnetic flux attachment
Gaultier Lambert, Douglas Lundholm, Nicolas Rougerie
We consider a model for two types (bath and tracers) of 2D quantum particles in a perpendicular magnetic field. Interactions are short range and inter-species, and we assume that t…