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

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Publications

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
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
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
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
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
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
DOI: 10.1007/s11005-017-1020-5

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

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

Stability of the Laughlin phase against long-range interactions

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

Limites de champ moyen bosoniques à température positive

Author(s): Nicolas Rougerie
Published in: 2018

Non linear Schrödinger limit of bosonic ground states, again

Author(s): Rougerie , Nicolas
Published in: https://hal.archives-ouvertes.fr/hal-01994870, Issue 3, 2019

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

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

On the Laughlin state and its perturbations

Author(s): Nicolas Rougerie
Published in: 2019

On two properties of the Fisher information

Author(s): Rougerie, Nicolas
Published in: https://hal.archives-ouvertes.fr/hal-02397359, Issue 3, 2019

A Quantum Impurity Model for Anyons

Author(s): Yakaboylu, Enderalp; Ghazaryan, Areg; Lundholm, Douglas; Rougerie, Nicolas; Lemeshko, Mikhail; Seiringer, Robert
Published in: 2020, Issue 2, 2019

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

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

Author(s): Nicolas Rougerie
Published in: 2020

Hartree problem in a double well

Author(s): Alessandro Olgiati, Nicolas Rougerie
Published in: 2020

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
DOI: 10.1007/978-3-030-01602-9_7

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