PUBLICATIONS de Nicolas Rougerie

Publications 2021
Semiclassical Limit for Almost Fermionic Anyons  
Théotime Girardot, Nicolas Rougerie
Communications in Mathematical Physics 387, 427–480 (2021)
arXiv:2101.04457
Classical field theory limit of many-body quantum Gibbs states in 2D and 3D  
Mathieu Lewin, Phan-Thanh Nam, Nicolas Rougerie
Inventiones mathematicae 224, 315--444 (2021)
arXiv:1810.08370
 
Publications 2020
Stability of the Laughlin phase against long-range interactions  
Alessandro Olgiati, Nicolas Rougerie
Archive for Rational Mechanics and Analysis 237, 1475--1515 (2020)
arXiv:1906.05564
Interacting Bosons in a Double-Well Potential: Localization Regime  
Nicolas Rougerie, Dominique Spehner
Communications in Mathematical Physics 361, 737--786 (2020)
Holomorphic quantum Hall states in higher Landau levels  
Nicolas Rougerie, J. Yngvason
Journal of Mathematical Physics 61, 041101 (2020)
arXiv:1912.10904
Quantum impurity model for anyons  
E. Yakaboylu, A. Ghazaryan, D. Lundholm, Nicolas Rougerie, M. Lemeshko, R. Seiringer
Physical Review B 102, 144109 (2020)
arXiv:1912.07890
 
Publications 2019
Vortex patterns in the almost-bosonic anyon gas  
M. Correggi, R. Duboscq, D. Lundholm, Nicolas Rougerie
EPL 126, 20005 (2019)
arXiv:1901.10739
Derivation of renormalized Gibbs measures from equilibrium many-body quantum Bose gases  
Mathieu Lewin, Phan-Thanh Nam, Nicolas Rougerie
Journal of Mathematical Physics 60, 061901 (2019)
arXiv:1903.01271
On the stability of 2D dipolar Bose-Einstein condensates  
Arnaud Eychenne, Nicolas Rougerie
SIAM Journal on Mathematical Analysis 51, 1371--1386 (2019)
arXiv:1809.07085
On the Laughlin function and its perturbations
Nicolas Rougerie, Elliott H. Lieb, Alessandro Olgiati, Sylvia Serfaty, J. Yngvason
unpublished (2019)
arXiv:1906.11656
 
Publications 2018
Local incompressibility estimates for the Laughlin phase  
Elliott H. Lieb, Nicolas Rougerie, J. Yngvason
Communications in Mathematical Physics, 1--40 (2018)
arXiv:1701.09064
Interacting bosons in a double-well potential  
Nicolas Rougerie, Dominique Spehner
Communications in Mathematical Physics 361, 737–-786 (2018)
arXiv:1612.057
Limites de champ moyen bosoniques à température positive
Nicolas Rougerie
intended for the proceedings of the second congress of the french mathematical society (Lille, June 2018) (2018)
arXiv:1811.06755
Gibbs measures based on 1d (an)harmonic oscillators as mean-field limits  
Mathieu Lewin, Phan-Thanh Nam, Nicolas Rougerie
Journal of Mathematical Physics 59, 041901 (2018)
arXiv:1703.09422
Rigidity of the Laughlin liquid  
Elliott H. Lieb, Nicolas Rougerie, J. Yngvason
Journal of Statistical Physics 172, 544--554 (2018)
arXiv:1609.03818
The Laughlin liquid in an external potential  
Nicolas Rougerie, J. Yngvason
Letters in Mathematical Physics 108, 1007--1029 (2018)
arXiv:1707.05059
The interacting 2D Bose gas and nonlinear Gibbs measures  
Mathieu Lewin, Phan-Thanh Nam, Nicolas Rougerie
Oberwolfach reports 15, 1081--1116 (2018)
arXiv:1805.03506
Blow-up profile of rotating 2D focusing Bose gases  
Mathieu Lewin, Phan-Thanh Nam, Nicolas Rougerie
Springer Proceedings in Mathematics & Statistics 270, 145--170 (2018)
arXiv:1802.01854
 
Publications 2017
Local density approximation for the almost-bosonic anyon gas  
M. Correggi, D. Lundholm, Nicolas Rougerie
Analysis and PDEs 10 (5), 1169--1200 (2017)
arXiv:1611.00942
Local Density Approximation for Almost-Bosonic Anyons  
M. Correggi, D. Lundholm, Nicolas Rougerie
Contribution to the proceedings of QMath13: Mathematical Problems in Quantum Physics (2017)
arXiv:1705.03203
A note on 2D focusing many-boson systems  
Mathieu Lewin, Phan-Thanh Nam, Nicolas Rougerie
Proceedings of the American Mathematical Society 145 (6), 2441--2454 (2017)
arXiv:1509.09045
Universal and shape dependent features of surface superconductivity  
M. Correggi, B. Devanarayanan, Nicolas Rougerie
The European Physical Journal B 90, 231 (2017)
arXiv:1706.00654
 
Publications 2016
Ground states of large bose systems: The Gross-Pitaevskii limit revisited  
Phan-Thanh Nam, Nicolas Rougerie, R. Seiringer
Analysis & PDE 9, 459--485 (2016)
arXiv:1503.07061
Higher Dimensional Coulomb Gases and Renormalized Energy Functionals  
Nicolas Rougerie, Sylvia Serfaty
Communications on Pure and Applied Mathematics 69, 519--605 (2016)
arXiv:1307.2805
Effects of Boundary Curvature on Surface Superconductivity  
M. Correggi, Nicolas Rougerie
Letters in Mathematical Physics, 1--23 (2016)
arXiv:1511.01278
Emergence of Fractional Statistics for Tracer Particles in a Laughlin Liquid  
D. Lundholm, Nicolas Rougerie
Physical Review Letters 116, 170401 (2016)
arXiv:1601.02508
The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases  
Mathieu Lewin, Phan-Thanh Nam, Nicolas Rougerie
Trans. Amer. Math. Soc 368, 6131--6157 (2016)
arXiv:1405.3220
 
Publications 2015
Remarks on the quantum de Finetti theorem for bosonic systems  
Mathieu Lewin, Phan-Thanh Nam, Nicolas Rougerie
Appl. Math. Res. Express (AMRX) 2015, 48--63 (2015)
arXiv:1310.2200
Boundary Behavior of the Ginzburg-Landau Order Parameter in the Surface Superconductivity Regime  
M. Correggi, Nicolas Rougerie
Archive for Rational Mechanics and Analysis 219, 553--606 (2015)
arXiv:1406.2259
Incompressibility estimates for the Laughlin phase  
Nicolas Rougerie, J. Yngvason
Communications in Mathematical Physics 336, 1109--1140 (2015)
arXiv:1402.5799
Incompressibility estimates for the Laughlin phase, part II  
Nicolas Rougerie, J. Yngvason
Communications in Mathematical Physics 339, 263--277 (2015)
arXiv:1411.2361
Derivation of nonlinear Gibbs measures from many-body quantum mechanics  
Mathieu Lewin, Phan-Thanh Nam, Nicolas Rougerie
Journal de l'Ecole Polytechnique 2, 65-115 (2015)
arXiv:1410.0335
The average field approximation for almost bosonic extended anyons  
D. Lundholm, Nicolas Rougerie
Journal of Statistical Physics 161, 1236--1267 (2015)
arXiv:1505.05982
Bose Gases at Positive Temperature and Non-Linear Gibbs Measures
Mathieu Lewin, Phan-Thanh Nam, Nicolas Rougerie
Proceedings of the 18th ICMP (2015)
arXiv:1602.05166
From Bosonic Grand-Canonical Ensembles to Nonlinear Gibbs Measures
Nicolas Rougerie
unpublished (2015)
arXiv:1507.01440
De Finetti theorems, mean-field limits and bose-Einstein condensation
Nicolas Rougerie
unpublished (Lecture Notes) (2015)
arXiv:1506.05263
 
Publications 2014
Derivation of Hartree's theory for generic mean-field Bose systems  
Mathieu Lewin, Phan-Thanh Nam, Nicolas Rougerie
Advances in Mathematics 254, 570-621 (2014)
arXiv:1303.0981
On the Ginzburg-Landau Functional in the Surface Superconductivity Regime  
M. Correggi, Nicolas Rougerie
Communications in Mathematical Physics 332, 1297--1343 (2014)
arXiv:1309.2268
 
Publications 2013
Inhomogeneous Vortex Patterns in Rotating Bose-Einstein Condensates  
M. Correggi, Nicolas Rougerie
Communications in Mathematical Physics 321, 817--860 (2013)
arXiv:1205.2346
On the binding of small polarons in a mean-field quantum crystal  
Mathieu Lewin, Nicolas Rougerie
ESAIM: Control, Optimisation and Calculus of Variations 19, 629--656 (2013)
arXiv:1202.5103
Vortex Phases of Rotating Superfluids  
M. Correggi, F. Pinsker, Nicolas Rougerie, J. Yngvason
Journal of Physics: Conference Series 414, 012034 (2013)
arXiv:1212.3680
Quantum Hall phases and plasma analogy in rotating trapped Bose gases  
Nicolas Rougerie, Sylvia Serfaty, J. Yngvason
Journal of Statistical Physics (2013)
arXiv:1301.1043
Quantum Hall states of bosons in rotating anharmonic traps  
Nicolas Rougerie, Sylvia Serfaty, J. Yngvason
Physical Review A 87, 023618 (2013)
arXiv:1212.1085
Derivation of Pekar's Polarons from a Microscopic Model of Quantum Crystals   █
Mathieu Lewin, Nicolas Rougerie
SIAM Journal on Mathematical Analysis 45, 1267 (2013)
arXiv:1108.5931
Giant vortex phase transition in rapidly rotating trapped Bose-Einstein condensates  
M. Correggi, F. Pinsker, Nicolas Rougerie, J. Yngvason
The European Physical Journal Special Topics 217, 183--188 (2013)
arXiv:1210.7134
 
Publications 2012
Sur la modélisation de l'interaction entre polarons et cristaux quantiques
Nicolas Rougerie
in EDP et applications, p. ,
ed.,
Series ``Séminaire Laurent Schwartz'',
(, , 2012)
Critical Rotational Speeds for Superfluids in Homogeneous Traps  
M. Correggi, F. Pinsker, Nicolas Rougerie, J. Yngvason
Journal of Mathematical Physics 53, 095203 (2012)
arXiv:1108.5429
 
Publications 2011
Annular Bose-Einstein Condensates in the Lowest Landau Level   █
Nicolas Rougerie
Applied Mathematic Research Express 2011, 95-121 (2011)
arXiv:1009.1968
Vortex Rings in Fast Rotating Bose-Einstein Condensates   █
Nicolas Rougerie
Archive for Rational Mechanics and Analysis (2011)
arXiv:1009.1982
The Transition to a Giant Vortex Phase in a Fast Rotating Bose-Einstein Condensate   █
M. Correggi, Nicolas Rougerie, J. Yngvason
Communications in Mathematical Physics 303, 451 (2011)
arXiv:1005.0686
The giant vortex state for a Bose-Einstein condensate in a rotating anharmonic trap: Extreme rotation regimes   █
Nicolas Rougerie
Journal de Mathématiques Pures et Appliquées 95, 296 (2011)
arXiv:0809.1818
Critical Rotational Speeds in the Gross-Pitaevskii Theory on a Disc with Dirichlet Boundary Conditions   █
M. Correggi, F. Pinsker, Nicolas Rougerie, J. Yngvason
Journal of Statistical Physics 143, 261 (2011)
arXiv:1012.1157
Rotating superfluids in anharmonic traps: From vortex lattices to giant vortices  
M. Correggi, F. Pinsker, Nicolas Rougerie, J. Yngvason
Physical Review A 84, 053614 (2011)
arXiv:1107.5160
 
Publications 2008
Lowest-Landau-level vortex structure of a Bose-Einstein condensate rotating in a harmonic plus quartic trap   █
Xavier Blanc, Nicolas Rougerie
Physical Review A 77, 053615 (2008)
arXiv:0801.3571