Search Results - "Rougerie, Nicolas"

Semiclassical Limit for Almost Fermionic Anyons by Girardot, Théotime, Rougerie, Nicolas

“…In two-dimensional space there are possibilities for quantum statistics continuously interpolating between the bosonic and the fermionic one. Quasi-particles…”
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Stability of the Laughlin Phase Against Long-Range Interactions by Olgiati, Alessandro, Rougerie, Nicolas

“…A natural, “perturbative”, problem in the modelization of the fractional quantum Hall effect is to minimize a classical energy functional within a variational…”
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A Lieb–Thirring inequality for extended anyons by Girardot, Théotime, Rougerie, Nicolas

“…We derive a Pauli exclusion principle for extended fermion-based anyons of any positive radius and any nontrivial statistics parameter. That is, we consider 2D…”
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Dimensional reduction for a system of 2D anyons by Rougerie, Nicolas, Yang, Qiyun

“…Anyons with a statistical phase parameter α ∈ ( 0 , 2 ) are a kind of quasi-particles that, for topological reasons, only exist in a 1D or 2D world. We…”
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Classical field theory limit of many-body quantum Gibbs states in 2D and 3D by Lewin, Mathieu, Nam, Phan Thành, Rougerie, Nicolas

“…We provide a rigorous derivation of nonlinear Gibbs measures in two and three space dimensions, starting from many-body quantum systems in thermal equilibrium…”
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Vortex patterns in the almost-bosonic anyon gas by Correggi, Michele, Duboscq, Romain, Lundholm, Douglas, Rougerie, Nicolas

“…We study theoretically and numerically the ground state of a gas of 2D Abelian anyons in an external trapping potential. We treat anyon statistics in the…”
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A note on 2D focusing many-boson systems by LEWIN, MATHIEU, NAM, PHAN THÀNH, ROUGERIE, NICOLAS

“…We consider a 2D quantum system of 𝑁 bosons in a trapping potential |𝑥|𝑠, interacting via a pair potential of the form 𝑁²𝛽⁻¹𝑤(𝑁𝛽𝑥). We show that for…”
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Anyons in a tight wave-guide and the Tonks-Girardeau gas by Rougerie, Nicolas, Yang, Qiyun

“…We consider a many-body system of 2D anyons, free quantum particles with general statistics parameter \alpha ∈ ]0,2[ α ∈ ] 0 , 2 [ . In the magnetic gauge…”
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Higher-Dimensional Coulomb Gases and Renormalized Energy Functionals by Rougerie, Nicolas, Serfaty, Sylvia

“…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…”
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Emergence of Fractional Statistics for Tracer Particles in a Laughlin Liquid by Lundholm, Douglas, Rougerie, Nicolas

“…We consider a thought experiment where two distinct species of 2D particles in a perpendicular magnetic field interact via repulsive potentials. If the…”
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Interacting Bosons in a Double-Well Potential: Localization Regime by Rougerie, Nicolas, Spehner, Dominique

“…We study the ground state of a large bosonic system trapped in a symmetric double-well potential, letting the distance between the two wells increase to…”
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Boundary Behavior of the Ginzburg–Landau Order Parameter in the Surface Superconductivity Regime by Correggi, Michele, Rougerie, Nicolas

“…We study the 2D Ginzburg--Landau theory for a type-II superconductor in an applied magnetic field varying between the second and third critical value. In this…”
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The Average Field Approximation for Almost Bosonic Extended Anyons by Lundholm, Douglas, Rougerie, Nicolas

“…Anyons are 2D or 1D quantum particles with intermediate statistics, interpolating between bosons and fermions. We study the ground state of a large number N of…”
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Incompressibility Estimates for the Laughlin Phase by Rougerie, Nicolas, Yngvason, Jakob

“…This paper has its motivation in the study of the Fractional Quantum Hall Effect. We consider 2D quantum particles submitted to a strong perpendicular magnetic…”
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Incompressibility Estimates for the Laughlin Phase, Part II by Rougerie, Nicolas, Yngvason, Jakob

“…We consider fractional quantum Hall states built on Laughlin’s original N -body wave-functions, i.e., they are of the form holomorphic × Gaussian and vanish…”
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Invariant Gibbs measures for 1D NLS in a trap by Dinh, van Duong, Rougerie, Nicolas

“…We consider the one dimensional cubic nonlinear Schrödinger equation with trapping potential behaving like |x| s (s > 1) at infinity. We construct Gibbs…”
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Derivation of Hartreeʼs theory for generic mean-field Bose systems by Lewin, Mathieu, Nam, Phan Thành, Rougerie, Nicolas

“…In this paper we provide a novel strategy to prove the validity of Hartreeʼs theory for the ground state energy of bosonic quantum systems in the mean-field…”
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The Laughlin liquid in an external potential by Rougerie, Nicolas, Yngvason, Jakob

“…We study natural perturbations of the Laughlin state arising from the effects of trapping and disorder. These are N -particle wave functions that have the form…”
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The Hartree functional in a double well by Olgiati, Alessandro, Rougerie, Nicolas

“…We consider a non-linear Hartree energy for bosonic particles in a symmetric double-well potential. In the limit where the wells are far apart and the…”
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The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases by Lewin, Mathieu, Nam, Phan Thành, Rougerie, Nicolas

“…We study the ground state of a trapped Bose gas, starting from the full many-body Schrödinger Hamiltonian, and derive the non-linear Schrödinger energy…”
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