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, our objective is to evaluate whether machine learning algorithms combined with
computational methods used in physical problems such as spontaneous symmetry breaking …

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 …

Starting from the standard three-dimensional (3D) Gross–Pitaevskii equation (GPE) and
using a variational approximation, we derive an effective one-dimensional nonpolynomial …

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 Bose-Einstein condensate in self-attraction regime, confined
transversely by a funnel-like potential and axially by a double-well potential formed by the …

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 …

The bumblebee field is a self-interacting vector field whose vacuum expectation value (vev)
defines a privileged direction in spacetime. This spontaneous breaking of the Lorentz …