Correlated frontiers of many-body quantum mathematics and condensed matter physics

Non-radial finite time blow-up for the fourth-order nonlinear Schrödinger equations

Autores: Van Duong Dinh
Publicado en: "Applied Mathematics Letters, Elsevier, In press, ⟨10.1016/j.aml.2022.108084⟩", Edición 2, 2022, ISSN 0893-9659
Editor: Pergamon Press Ltd.
DOI: 10.1016/j.aml.2022.108084

Non linear Schrödinger limit of bosonic ground states, again

Autores: Nicolas Rougerie
Publicado en: Confluentes Mathematici, Edición 12/1, 2020, Página(s) 69-91, ISSN 1793-7434
Editor: Centre Mersenne
DOI: 10.5802/cml.62

On two properties of the Fisher information

Autores: Nicolas Rougerie
Publicado en: Kinetic & Related Models, Edición 0/0, 2020, Página(s) 0-0, ISSN 1937-5077
Editor: American Institute of Mathematics
DOI: 10.3934/krm.2020049

On one-dimensional Bose gases with two- and (critical) attractive three-body interactions

Autores: Nguyen, Dinh-Thi; Ricaud, Julien
Publicado en: SIAM Journal on Mathematical Analysis, Edición 34, 2024, ISSN 1095-7154
Editor: SIAM
DOI: 10.1137/22m1535139

On some rigorous aspects of fragmented condensation

Autores: Daniele Dimonte, Marco Falconi, Alessandro Olgiati
Publicado en: Nonlinearity, Edición 34/1, 2021, Página(s) 1-32, ISSN 0951-7715
Editor: Institute of Physics Publishing
DOI: 10.1088/1361-6544/abb451

Rigidity of the Laughlin Liquid

Autores: Elliott H. Lieb, Nicolas Rougerie, Jakob Yngvason
Publicado en: Journal of Statistical Physics, Edición 172/2, 2018, Página(s) 544-554, ISSN 0022-4715
Editor: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-018-2082-1

Semiclassical Limit for Almost Fermionic Anyons

Autores: Théotime Girardot, Nicolas Rougerie
Publicado en: Communications in Mathematical Phyics, 2021, ISSN 0010-3616
Editor: Springer Verlag
DOI: 10.1007/s00220-021-04164-1

Thomas-Fermi profile of a fast rotating Bose-Einstein condensate

Autores: Nguyen, Dinh-Thi; Rougerie, Nicolas
Publicado en: Pure and applied analysis, Edición 4, 2022, ISSN 2578-5893
Editor: Mathematical Sciences Publishers

On the Stability of 2D Dipolar Bose--Einstein Condensates

Autores: Arnaud Eychenne, Nicolas Rougerie
Publicado en: SIAM Journal on Mathematical Analysis, Edición 51/2, 2019, Página(s) 1371-1386, ISSN 0036-1410
Editor: Society for Industrial and Applied Mathematics
DOI: 10.1137/18m1216663

Vortex patterns in the almost-bosonic anyon gas

Autores: Michele Correggi, Romain Duboscq, Douglas Lundholm, Nicolas Rougerie
Publicado en: EPL (Europhysics Letters), Edición 126/2, 2019, Página(s) 20005, ISSN 1286-4854
Editor: IOP Science
DOI: 10.1209/0295-5075/126/20005

Average field approximation for almost bosonic anyons in a magnetic field

Autores: Théotime Girardot
Publicado en: Journal of Mathematical Physics, Edición 61/7, 2020, Página(s) 071901, ISSN 0022-2488
Editor: American Institute of Physics
DOI: 10.1063/1.5143205

Holomorphic quantum Hall states in higher Landau levels

Autores: Nicolas Rougerie, Jakob Yngvason
Publicado en: Journal of Mathematical Physics, Edición 61/4, 2020, Página(s) 041101, ISSN 0022-2488
Editor: American Institute of Physics
DOI: 10.1063/5.0004111

Improved stability for 2D attractive Bose gases

Autores: Phan Thành Nam, Nicolas Rougerie
Publicado en: Journal of Mathematical Physics, Edición 61/2, 2020, Página(s) 021901, ISSN 0022-2488
Editor: American Institute of Physics
DOI: 10.1063/1.5131320

The Laughlin liquid in an external potential

Autores: Nicolas Rougerie, Jakob Yngvason
Publicado en: Letters in Mathematical Physics, 2018, ISSN 0377-9017
Editor: Kluwer Academic Publishers
DOI: 10.1007/s11005-017-1020-5

Bosons in a double well: two-mode approximation and fluctuations

Autores: Olgiati, Alessandro; Rougerie, Nicolas; Spehner, Dominique
Publicado en: Analysis and PDEs, 2022, ISSN 2157-5045
Editor: Mathematical Sciences Publishers

Existence and stability of standing waves for nonlinear Schrödinger equations with a critical rotational speed

Autores: Dinh, Van Duong
Publicado en: Letters in Mathematical Physics, Edición 15730530, 2022, ISSN 1573-0530
Editor: Springer
DOI: 10.1007/s11005-022-01549-8

Quantum impurity model for anyons

Autores: E. Yakaboylu, A. Ghazaryan, D. Lundholm, N. Rougerie, M. Lemeshko, R. Seiringer
Publicado en: Physical Review B, Edición 102/14, 2020, ISSN 2469-9950
Editor: American Physical Society
DOI: 10.1103/physrevb.102.144109

Thomas–Fermi profile of a fast rotating Bose–Einstein condensate

Autores: Nguyen, Dinh-Thi; Rougerie, Nicolas
Publicado en: Pure and Applied Analysis, Edición 29, 2023, ISSN 2578-5893
Editor: MSP
DOI: 10.2140/paa.2022.4.535

Classical field theory limit of many-body quantum Gibbs states in 2D and 3D

Autores: Mathieu Lewin, Phan Thành Nam, Nicolas Rougerie
Publicado en: Inventiones mathematicae, 2021, ISSN 0020-9910
Editor: Springer Verlag
DOI: 10.1007/s00222-020-01010-4

Mean-Field Approximation For The Anyon Gas

Autores: Girardot, Théotime
Publicado en: "Mathematical Physics [math-ph]. Université Grenoble Alpes [2020-..], 2021. English. ⟨NNT : 2021GRALM031⟩", 2021
Editor: Université Grenoble-Alpes

Convergence of states for polaron models in the classical limit

Autores: Falconi, Marco; Olgiati, Alessandro; Rougerie, Nicolas
Publicado en: https://hal.science/hal-04276839, Edición 22, 2023
Editor: CNRS
DOI: 10.48550/arxiv.2311.05940

The 3D nonlinear Schrödinger equation with a constant magnetic field revisited

Autores: DINH, Van Duong
Publicado en: 2022
Editor: arxiv

Classical field theory limit of 2D many-body quantum Gibbs states

Autores: Mathieu Lewin, Phan Thành Nam, Nicolas Rougerie
Publicado en: 2018
Editor: CNRS

Stability of the Laughlin phase against long-range interactions

Autores: Alessandro Olgiati, Nicolas Rougerie
Publicado en: 2019
Editor: CNRS

Limites de champ moyen bosoniques à température positive

Autores: Nicolas Rougerie
Publicado en: 2018
Editor: CNRS

Derivation of renormalized Gibbs measures from equilibrium many-body quantum Bose gases

Autores: Mathieu Lewin, Phan Thành Nam, Nicolas Rougerie
Publicado en: 2019
Editor: arXiv

On the Laughlin state and its perturbations

Autores: Nicolas Rougerie
Publicado en: 2019
Editor: arXiv

Classical field theory limit of many-body quantum Gibbs states in 2D and 3D

Autores: Lewin, Mathieu; Nam, Phan Thành; Rougerie, Nicolas
Publicado en: https://hal.archives-ouvertes.fr/hal-01898563, Edición 1, 2020
Editor: CNRS

Quantum statistics transmutation via magnetic flux attachment

Autores: Lambert, Gaultier; Lundholm, Douglas; Rougerie, Nicolas
Publicado en: arxiv, 2022
Editor: arxiv

Blow-Up Profile of Rotating 2D Focusing Bose Gases

Autores: Mathieu Lewin, Phan Thành Nam, Nicolas Rougerie
Publicado en: Macroscopic Limits of Quantum Systems - Munich, Germany, March 30 - April 1, 2017, Edición 270, 2018, Página(s) 145-170, ISBN 978-3-030-01601-2
Editor: Springer International Publishing
DOI: 10.1007/978-3-030-01602-9_7

The classical Jellium and the Laughlin phase

Autores: Nicolas Rougerie
Publicado en: The Physics and Mathematics of Elliott Lieb, 2022
Editor: European Mathematical Society
DOI: 10.4171/90-2/37

The interacting 2D Bose gas and nonlinear Gibbs measures

Autores: Mathieu Lewin, Phan Thành Nam, Nicolas Rougerie
Publicado en: Mini-Workshop: Gibbs Measures for Nonlinear Dispersive Equations, Edición Report No. 18/2018, 2018, Página(s) 8-13
Editor: Mathematisches Forschungsinstitut Oberwolfach

Scaling limits of bosonic ground states, from many-body to nonlinear Schrödinger

Autores: Nicolas Rougerie
Publicado en: EMS Surveys in Mathematical Science, 2020, ISSN 2308-2151
Editor: European Mathematical Society
DOI: 10.4171/emss/40

The Hartree functional in a double well

Autores: Alessandro Olgiati, Nicolas Rougerie
Publicado en: Journal of spectral theory, 2021, ISSN 1664-039X
Editor: European Mathematical Society
DOI: 10.4171/jst/385

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