71 citations · 752 across the 67 of their papers we have counts for
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A Quantum Impurity Model for Anyons
Enderalp Yakaboylu, Areg Ghazaryan, Douglas Lundholm +3
One of the hallmarks of quantum statistics, tightly entwined with the concept of topological phases of matter, is the prediction of anyons. Although anyons are predicted to be real…
Vortex patterns in the almost-bosonic anyon gas
Michele Correggi, Romain Duboscq, Douglas Lundholm +1
We study theoretically and numerically the ground state of a gas of 2D abelian anyons in an external trapping potential. We treat anyon statistics in the magnetic gauge picture, pe…
Incompressibility Estimates for the Laughlin Phase
Nicolas Rougerie, Jakob Yngvason
This paper has its motivation in the study of the Fractional Quantum Hall Effect. We consider 2D quantum particles submitted to a strong perpendicular magnetic field, reducing admi…
Vortex Phases of Rotating Superfluids
M. Correggi, F. Pinsker, N. Rougerie +1
We report on the first mathematically rigorous proofs of a transition to a giant vortex state of a superfluid in rotating anharmonic traps. The analysis is carried out within two-d…
Quantum Hall states of bosons in rotating anharmonic traps
Nicolas Rougerie, Jakob Yngvason, Sylvia Serfaty
We study a model of bosons in the lowest Landau level in a rotating trap where the confinement potential is a sum of a quadratic and a quartic term. The quartic term improves the s…
Giant vortex phase transition in rapidly rotating trapped Bose-Einstein condensates
Michele Correggi, Florian Pinsker, Nicolas Rougerie +1
A Bose-Einstein condensate of cold atoms is a superfluid and thus responds to rotation of its container by the nucleation of quantized vortices. If the trapping potential is su cie…
Rotating superfluids in anharmonic traps: From vortex lattices to giant vortices
Michele Correggi, Florian Pinsker, Nicolas Rougerie +1
We study a superfluid in a rotating anharmonic trap and explicate a rigorous proof of a transition from a vortex lattice to a giant vortex state as the rotation is increased beyond…