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## Higher‐Dimensional Coulomb Gases and Renormalized Energy Functionals

- N. Rougerie, S. Serfaty
- Physics
- 10 July 2013

We consider a classical system of n charged particles in an external confining potential in any dimension d ≥ 2. The particles interact via pairwise repulsive Coulomb forces and the coupling… Expand

## Derivation of Hartree's theory for generic mean-field Bose systems

- Mathieu Lewin, P. T. Nam, N. Rougerie
- Physics
- 5 March 2013

## The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases

- Mathieu Lewin, P. T. Nam, N. Rougerie
- Physics, Mathematics
- 13 May 2014

We study the ground state of a trapped Bose gas, starting from the full many-body Schrodinger Hamiltonian, and derive the nonlinear Schrodinger energy functional in the limit of large particle… Expand

## Ground states of large bosonic systems: The gross-pitaevskii limit revisited

- P. T. Nam, N. Rougerie, R. Seiringer
- Physics, Mathematics
- 24 March 2015

We study the ground state of a dilute Bose gas in a scaling limit where the Gross-Pitaevskii functional emerges. This is a repulsive non-linear Schr\"odinger functional whose quartic term is… Expand

## Blow-up profile of rotating 2D focusing Bose gases

- Mathieu Lewin, P. T. Nam, N. Rougerie
- Mathematics, Physics
- 5 February 2018

We consider the Gross-Pitaevskii equation describing an attractive Bose gas trapped to a quasi 2D layer by means of a purely harmonic potential, and which rotates at a fixed speed of rotation… Expand

## Derivation of nonlinear Gibbs measures from many-body quantum mechanics

- Mathieu Lewin, P. T. Nam, N. Rougerie
- Physics
- 1 October 2014

We prove that nonlinear Gibbs measures can be obtained from the corresponding many-body, grand-canonical, quantum Gibbs states, in a mean-field limit where the temperature T diverges and the… Expand

## REMARKS ON THE QUANTUM DE FINETTI THEOREM FOR BOSONIC SYSTEMS

- Mathieu Lewin, P. T. Nam, N. Rougerie
- Mathematics
- 8 October 2013

The quantum de Finetti theorem asserts that the k-body density matrices of a N-body bosonic state approach a convex combination of Hartree states (pure tensor powers) when N is large and k fixed. In… Expand

## Derivation of Pekar's Polarons from a Microscopic Model of Quantum Crystal

- Mathieu Lewin, N. Rougerie
- PhysicsSIAM Journal on Mathematical Analysis
- 30 August 2011

## A note on 2D focusing many-boson systems

- Mathieu Lewin, P. T. Nam, N. Rougerie
- Physics
- 30 September 2015

We consider a 2D quantum system of $N$ bosons in a trapping potential $|x|^s$, interacting via a pair potential of the form $N^{2\beta-1} w(N^\beta x)$. We show that for all $0 \textless{} \beta… Expand

## Local incompressibility estimates for the Laughlin phase

- E. Lieb, N. Rougerie, J. Yngvason
- PhysicsCommunications in Mathematical Physics
- 31 January 2017

We prove sharp density upper bounds on optimal length-scales for the ground states of classical 2D Coulomb systems and generalizations thereof. Our method is new, based on an auxiliary… Expand

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