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20082025
most citedGround states of large bosonic systems: The gross-pitaevskii limit revisited

71 citations · 752 across the 67 of their papers we have counts for

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Showing 2013Show all

5 papers · 1 filter

math-ph2013

Remarks on the quantum de Finetti theorem for bosonic systems

Mathieu Lewin, Phan Thành Nam, Nicolas Rougerie

The quantum de Finetti theorem asserts that the k-body density matrices of a N-body bosonic state approach a convex combination of Hartree states (pure tensor powers) when N is lar…

math-ph2013★ 22 cited

On the Ginzburg--Landau Functional in the Surface Superconductivity Regime

M. Correggi, N. Rougerie

We present new estimates on the two-dimensional Ginzburg-Landau energy of a type-II superconductor in an applied magnetic field varying between the second and third critical fields…

math-ph2013★ 19 cited

Higher Dimensional Coulomb Gases and Renormalized Energy Functionals

N. Rougerie, S. Serfaty

We consider a classical system of n charged particles in an external confining potential, in any dimension d larger than 2. The particles interact via pairwise repulsive Coulomb fo…

math-ph2013★ 9 cited

Derivation of Hartree's theory for generic mean-field Bose systems

Mathieu Lewin, Phan Thành Nam, Nicolas Rougerie

In this paper we provide a novel strategy to prove the validity of Hartree's theory for the ground state energy of bosonic quantum systems in the mean-field regime. For the well-kn…

math-ph2013★ 33 cited

Quantum Hall phases and plasma analogy in rotating trapped Bose gases

Nicolas Rougerie, Sylvia Serfaty, Jakob Yngvason

A bosonic analogue of the fractional quantum Hall eff ect occurs in rapidly rotating trapped Bose gases: There is a transition from uncorrelated Hartree states to strongly correlat…