71 citations · 752 across the 67 of their papers we have counts for
9 papers · 1 filter
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…
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…
On two properties of the Fisher information
Nicolas Rougerie
Alternative proofs for the superadditivity and the affinity (in the large system limit) of the usual and some fractional Fisher informations of a probability density of many variab…
Improved stability for 2D attractive Bose gases
Phan Thành Nam, Nicolas Rougerie
We study the ground-state energy of N attractive bosons in the plane. The interaction is scaled for the gas to be dilute, so that the corresponding mean-field problem is a local no…
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…
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…
Non linear Schr{ö}dinger limit of bosonic ground states, again
Nicolas Rougerie
I review an information-theoretic variant of the quantum de Finetti theorem due to Brand{ã}o and Harrow and discuss its applications to the topic of bosonic mean-field limits. This…