24 citations · 72 across the 9 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…
Semiclassical limit for almost fermionic anyons
Théotime Girardot, Nicolas Rougerie
In two-dimensional space there are possibilities for quantum statistics continuously interpolating between the bosonic and the fermionic one. Quasi-particles obeying such statistic…
On the Laughlin function and its perturbations
Nicolas Rougerie
The Laughlin state is an ansatz for the ground state of a system of 2D quantum particles submitted to a strong magnetic field and strong interactions. The two effects conspire to g…
Stability of the Laughlin phase against long-range interactions
Alessandro Olgiati, Nicolas Rougerie
A natural, "perturbative", problem in the modelization of the fractional quantum Hall effect is to minimize a classical energy functional within a variational set based on Laughlin…
Derivation of renormalized Gibbs measures from equilibrium many-body quantum Bose gases
Mathieu Lewin, Phan Thành Nam, Nicolas Rougerie
We review our recent result on the rigorous derivation of the renormalized Gibbs measure from the many-body Gibbs state in 1D and 2D. The many-body renormalization is accomplished…
Limites de champ moyen bosoniques {à} temp{é}rature positive
Nicolas Rougerie
I present recent results in quantum statistical mechanics, obtained in joint works with Mathieu Lewin and Phan Th{à}nh Nam. We consider a certain mean-field limit of the grand-cano…