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

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

Author(s): Van Duong Dinh
Published in: "Applied Mathematics Letters, Elsevier, In press, ⟨10.1016/j.aml.2022.108084⟩", Issue 2, 2022, ISSN 0893-9659
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.aml.2022.108084

Non linear Schrödinger limit of bosonic ground states, again

Author(s): Nicolas Rougerie
Published in: Confluentes Mathematici, Issue 12/1, 2020, Page(s) 69-91, ISSN 1793-7434
Publisher: Centre Mersenne
DOI: 10.5802/cml.62

On two properties of the Fisher information

Author(s): Nicolas Rougerie
Published in: Kinetic & Related Models, Issue 0/0, 2020, Page(s) 0-0, ISSN 1937-5077
Publisher: American Institute of Mathematics
DOI: 10.3934/krm.2020049

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

Author(s): Nguyen, Dinh-Thi; Ricaud, Julien
Published in: SIAM Journal on Mathematical Analysis, Issue 34, 2024, ISSN 1095-7154
Publisher: SIAM
DOI: 10.1137/22m1535139

On some rigorous aspects of fragmented condensation

Author(s): Daniele Dimonte, Marco Falconi, Alessandro Olgiati
Published in: Nonlinearity, Issue 34/1, 2021, Page(s) 1-32, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6544/abb451

Dimensional reduction for a system of 2D anyons

Author(s): Yang, Qiyun; Rougerie, Nicolas
Published in: Annales Henri Poincaré, 2024, ISSN 1424-0661
Publisher: Springer
DOI: 10.1007/s00023-024-01417-2

A Lieb–Thirring inequality for extended anyons

Author(s): Girardot, Théotime; Rougerie, Nicolas
Published in: Letters in Mathematical Physics, 2023, ISSN 1573-0530
Publisher: Springer
DOI: 10.1007/s11005-022-01627-x

Rigidity of the Laughlin Liquid

Author(s): Elliott H. Lieb, Nicolas Rougerie, Jakob Yngvason
Published in: Journal of Statistical Physics, Issue 172/2, 2018, Page(s) 544-554, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-018-2082-1

Semiclassical Limit for Almost Fermionic Anyons

Author(s): Théotime Girardot, Nicolas Rougerie
Published in: Communications in Mathematical Phyics, 2021, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-021-04164-1

Anyons in a tight wave-guide and the Tonks-Girardeau gas

Author(s): Yang, Qiyun; Rougerie, Nicolas
Published in: Sci-Post Physics Core, 2023, ISSN 2666-9366
Publisher: SciPost Foundation
DOI: 10.21468/scipostphyscore.6.4.079

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

Author(s): Arnaud Eychenne, Nicolas Rougerie
Published in: SIAM Journal on Mathematical Analysis, Issue 51/2, 2019, Page(s) 1371-1386, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/18m1216663

Vortex patterns in the almost-bosonic anyon gas

Author(s): Michele Correggi, Romain Duboscq, Douglas Lundholm, Nicolas Rougerie
Published in: EPL (Europhysics Letters), Issue 126/2, 2019, Page(s) 20005, ISSN 1286-4854
Publisher: IOP Science
DOI: 10.1209/0295-5075/126/20005

Average field approximation for almost bosonic anyons in a magnetic field

Author(s): Théotime Girardot
Published in: Journal of Mathematical Physics, Issue 61/7, 2020, Page(s) 071901, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/1.5143205

Holomorphic quantum Hall states in higher Landau levels

Author(s): Nicolas Rougerie, Jakob Yngvason
Published in: Journal of Mathematical Physics, Issue 61/4, 2020, Page(s) 041101, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/5.0004111

Improved stability for 2D attractive Bose gases

Author(s): Phan Thành Nam, Nicolas Rougerie
Published in: Journal of Mathematical Physics, Issue 61/2, 2020, Page(s) 021901, ISSN 0022-2488
Publisher: American Institute of Physics
DOI: 10.1063/1.5131320

The Laughlin liquid in an external potential

Author(s): Nicolas Rougerie, Jakob Yngvason
Published in: Letters in Mathematical Physics, 2018, ISSN 0377-9017
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s11005-017-1020-5

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

Author(s): Olgiati, Alessandro; Rougerie, Nicolas; Spehner, Dominique
Published in: Analysis and PDEs, 2022, ISSN 2157-5045
Publisher: Mathematical Sciences Publishers

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

Author(s): Dinh, Van Duong
Published in: Letters in Mathematical Physics, Issue 15730530, 2022, ISSN 1573-0530
Publisher: Springer
DOI: 10.1007/s11005-022-01549-8

Blowup of two-dimensional attractive Bose–Einstein condensates at the critical rotational speed

Author(s): Dinh, Van-Duong; Nguyen, Dinh-Thi; Rougerie, Nicolas
Published in: Annales de l'insitut Henri Poincaré C, 2023, ISSN 1873-1430
Publisher: EMS Press
DOI: 10.4171/aihpc/94

Quantum statistics transmutation via magnetic flux attachment

Author(s): Lambert, Gaultier; Lundholm, Douglas; Rougerie, Nicolas
Published in: Probability and mathematical physics, 2022, ISSN 2690-1005
Publisher: MSP
DOI: 10.2140/pmp.2023.4.803

Quantum impurity model for anyons

Author(s): E. Yakaboylu, A. Ghazaryan, D. Lundholm, N. Rougerie, M. Lemeshko, R. Seiringer
Published in: Physical Review B, Issue 102/14, 2020, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/physrevb.102.144109

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

Author(s): Nguyen, Dinh-Thi; Rougerie, Nicolas
Published in: Pure and Applied Analysis, Issue 29, 2023, ISSN 2578-5893
Publisher: MSP
DOI: 10.2140/paa.2022.4.535

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

Author(s): Mathieu Lewin, Phan Thành Nam, Nicolas Rougerie
Published in: Inventiones mathematicae, 2021, ISSN 0020-9910
Publisher: Springer Verlag
DOI: 10.1007/s00222-020-01010-4

Mean-Field Approximation For The Anyon Gas

Author(s): Girardot, Théotime
Published in: "Mathematical Physics [math-ph]. Université Grenoble Alpes [2020-..], 2021. English. ⟨NNT : 2021GRALM031⟩", 2021
Publisher: Université Grenoble-Alpes

Convergence of states for polaron models in the classical limit

Author(s): Falconi, Marco; Olgiati, Alessandro; Rougerie, Nicolas
Published in: https://hal.science/hal-04276839, Issue 22, 2023
Publisher: CNRS
DOI: 10.48550/arxiv.2311.05940

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

Author(s): DINH, Van Duong
Published in: 2022
Publisher: arxiv

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

Author(s): Mathieu Lewin, Phan Thành Nam, Nicolas Rougerie
Published in: 2018
Publisher: CNRS

Stability of the Laughlin phase against long-range interactions

Author(s): Alessandro Olgiati, Nicolas Rougerie
Published in: 2019
Publisher: CNRS

Limites de champ moyen bosoniques à température positive

Author(s): Nicolas Rougerie
Published in: 2018
Publisher: CNRS

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

Author(s): Mathieu Lewin, Phan Thành Nam, Nicolas Rougerie
Published in: 2019
Publisher: arXiv

On the Laughlin state and its perturbations

Author(s): Nicolas Rougerie
Published in: 2019
Publisher: arXiv

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

Author(s): Lewin, Mathieu; Nam, Phan Thành; Rougerie, Nicolas
Published in: https://hal.archives-ouvertes.fr/hal-01898563, Issue 1, 2020
Publisher: CNRS

Blow-Up Profile of Rotating 2D Focusing Bose Gases

Author(s): Mathieu Lewin, Phan Thành Nam, Nicolas Rougerie
Published in: Macroscopic Limits of Quantum Systems - Munich, Germany, March 30 - April 1, 2017, Issue 270, 2018, Page(s) 145-170, ISBN 978-3-030-01601-2
Publisher: Springer International Publishing
DOI: 10.1007/978-3-030-01602-9_7

The classical Jellium and the Laughlin phase

Author(s): Nicolas Rougerie
Published in: The Physics and Mathematics of Elliott Lieb, 2022
Publisher: European Mathematical Society
DOI: 10.4171/90-2/37

The interacting 2D Bose gas and nonlinear Gibbs measures

Author(s): Mathieu Lewin, Phan Thành Nam, Nicolas Rougerie
Published in: Mini-Workshop: Gibbs Measures for Nonlinear Dispersive Equations, Issue Report No. 18/2018, 2018, Page(s) 8-13
Publisher: Mathematisches Forschungsinstitut Oberwolfach

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

Author(s): Nicolas Rougerie
Published in: EMS Surveys in Mathematical Science, 2020, ISSN 2308-2151
Publisher: European Mathematical Society
DOI: 10.4171/emss/40

The Hartree functional in a double well

Author(s): Alessandro Olgiati, Nicolas Rougerie
Published in: Journal of spectral theory, 2021, ISSN 1664-039X
Publisher: European Mathematical Society
DOI: 10.4171/jst/385

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