24 citations · 72 across the 9 of their papers we have counts for
8 papers · 1 filter
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…
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…
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…
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…