71 citations · 752 across the 67 of their papers we have counts for
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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…
On the stability of Laughlin's fractional quantum Hall phase
Nicolas Rougerie
The fractional quantum Hall effect in 2D electron gases submitted to large magnetic fields remains one of the most striking phenomena in condensed matter physics. Historically, the…
Blow-up of 2D attractive Bose-Einstein condensates at the crittical rotational speed
Van Duong Dinh, Dinh-Thi Nguyen, Nicolas Rougerie
We study the ground states of a 2D focusing non-linear Schrödinger equation with rotation and harmonic trapping. When the strength of the interaction approaches a critical value fr…
The classical Jellium and the Laughlin phase
Nicolas Rougerie
I discuss results bearing on a variational problem of a new type, inspired by fractional quantum Hall physics. In the latter context, the main result reviewed herein can be spelled…
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…