We revisit the problem of the reduction of the three-dimensional (3D) dynamics of Bose-
Einstein condensates, under the action of strong confinement in one direction (z), to a 2D …

In this paper we investigate the existence of Anderson localization induced by one specific
component of a binary Bose-Einstein condensate (BEC). We use a mean-field approach, in …

In this work, we present a numerical study of two-soliton collisions in a system described by
a cubic (Kerr-type) nonlinear Schrödinger equation whose nonlinearity has small chaotic …

On the basis of a recently introduced model for the Bose–Einstein condensate (BEC)
trapped in the 2D “funnel” potential, ∼∼-r^-1-r-1, we develop analysis for vortex modes …

In this paper, we derive an effective 1D equation based on the work of Mateo and Delgado
[Phys. Rev. A 77, 013617 (2008)] that governs the axial dynamics of mean-field cigar …

We propose a straightforward implementation of the phenomenon of diffractive focusing with
uniform atomic Bose–Einstein condensates. Both, analytical as well as numerical methods …

In this letter we derive an effective 1D equation that describes the axial dynamics of a tube-
shaped Bose–Einstein condensate. The dimensional reduction is achieved by using a …

The spontaneous symmetry breaking (SSB) induced by a specific component of a linearly
coupled binary Bose–Einstein condensate was analyzed. The model is based on linearly …

In this paper we consider a degenerate Fermi gas strongly confined in the transverse
direction by a singular potential. By using an appropriate factorized ansatz from the three …

In the mean-field framework, using variational analysis and numerical simulation, we
investigate the effect of anharmonic trap and atomic interaction on the ground-state phases …