How and why could an interacting system of many particles be described as if all particles
were independent and identically distributed? This question is at least as old as statistical …

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 functional in the …

We consider an extreme type-II superconducting wire with non-smooth cross section, ie with
one or more corners at the boundary, in the framework of the Ginzburg–Landau theory. We …

This article is devoted to studying the model of two-dimensional attractive Bose–Einstein
condensates in a trap V (x) rotating at the velocity Ω Ω. This model can be described by the …

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

We study a superfluid in a rotating anharmonic trap and explicate a rigorous proof of a
transition from a vortex lattice to a giant vortex state as the rotation is increased beyond a …

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 regime the order …

A Bose-Einstein condensate of cold atoms is a superfluid and thus responds to rotation of its
container by the nucleation of quantized vortices. If the trap** potential is sufficiently …

We study a system of N trapped bosons in the Thomas–Fermi regime with an interacting pair
potential of the form g NN 3 β-1 V (N β x), for some β∈(0, 1/3) and g N diverging as N→∞ …

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 …