24 citations · 72 across the 9 of their papers we have counts for
24 papers
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…
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…
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…
The Hartree functional in a double well
Alessandro Olgiati, Nicolas Rougerie
We consider a non-linear Hartree energy for bosonic particles in a symmetric double-well potential. In the limit where the wells are fare apart and the potential barrier is high, w…
Scaling limits of bosonic ground states, from many-body to nonlinear Schr{ö}dinger
Nicolas Rougerie
How and why may an interacting system of many particles be described assuming that all particles are independent and identically distributed ? This question is at least as old as s…
Holomorphic quantum Hall states in higher Landau levels
Nicolas Rougerie, Jakob Yngvason
Eigenstates of the planar magnetic Laplacian with homogeneous magnetic field form degenerate energy bands, the Landau levels. We discuss the unitary correspondence between states i…