Since the achievement of quantum degeneracy in gases of chromium atoms in 2004, the
experimental investigation of ultracold gases made of highly magnetic atoms has …

Abstract Complex Ginzburg–Landau (CGL) equations serve as canonical models in a great
variety of physical settings, such as nonlinear photonics, dynamical phase transitions …

By combining theory and experiments, we demonstrate that dipolar quantum gases of both
Er 166 and Dy 164 support a state with supersolid properties, where a spontaneous density …

We study the spectrum of elementary excitations of a dipolar Bose gas in a three-
dimensional anisotropic trap across the superfluid-supersolid phase transition. Theoretically …

In the limit when the two-body scattering length a is negative and much larger than the
effective two-body interaction radius the contribution to the ground state energy due to the …

In three-dimensional trapped Bose-Einstein condensate (BEC), described by the time-
dependent Gross-Pitaevskii-Ginzburg equation, we study the effect of initial conditions on …

Recent experimental and theoretical advances in the creation and description of bright
matter wave solitons are reviewed. Several aspects are taken into account, including the …

We consider the cubic–quintic nonlinear Schrödinger equation: i\partial_t u=-Δ u-| u|^ 2u+|
u|^ 4u. i∂ tu=-Δ u-| u| 2 u+| u| 4 u. In the first part of the paper, we analyze the one …

We study a dilute Bose gas of atoms whose scattering length a is large compared to the
range of their interaction. We calculate the energy density E of a homogeneous Bose …

We propose a method of controlling two-and three-body interactions in an ultracold Bose
gas in any dimension. The method requires us to have two coupled internal single-particle …