Since the first experimental achievement of Bose–Einstein condensates (BEC) in 1995 and
the award of the Nobel Prize for Physics in 2001, the properties of these gaseous quantum …

We investigate a model corresponding to the experiments for a two-dimensional rotating
Bose–Einstein condensate. It consists in minimizing a Gross–Pitaevskii functional defined in …

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 …

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 …

Abstract We study the Gross-Pitaevskii (GP) energy functional for a fast rotating Bose-
Einstein condensate on the unit disc in two dimensions. Writing the coupling parameter as …

Abstract As a continuation of [34], we consider ground states of rotating Bose-Einstein
condensates with attractive interactions in non-radially harmonic traps V (x)= x 1 2+ Λ 2 x 2 …

In this paper, we answer a question raised by Lev Pitaevskii and prove that the ground state
of the Gross–Pitaevskii energy describing a Bose–Einstein condensate in a rotationally …

We present an asymptotic analysis of the effects of rapid rotation on the ground state
properties of a superfluid confined in a two-dimensional trap. The trapping potential is …

We study the ground state which minimizes a Gross–Pitaevskii energy with general non-
radial trapping potential, under the unit mass constraint, in the Thomas–Fermi limit where a …

We study global minimizers of an energy functional arising as a thin sample limit in the
theory of light-matter interaction in nematic liquid crystals. We show that depending on the …