This brief review summarizes recent theoretical and experimental results which predict and
establish the existence of quantum droplets (QDs), ie, robust two-and three-dimensional (2D …

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

We construct strongly anisotropic quantum droplets with embedded vorticity in the 3D space,
with mutually perpendicular vortex axis and polarization of atomic magnetic moments …

By introducing external harmonic potential confinement, we investigate the stability of higher-
charged vortex solitons in competing cubic–quintic nonlinear medium. Vortex solitons with …

We predict a new type of two-and three-dimensional stable quantum droplets persistently
rotating in broad external two-dimensional and weakly anharmonic potential. Their evolution …

We unravel the existence and stability properties of dark soliton solutions as they extend
from the regime of trapped quantum droplets towards the Thomas-Fermi limit in …

We put forward a model for trap** stable optical vortex solitons (VSs) with high topological
charges m. The cubic–quintic nonlinear medium with an imprinted ring-shaped modulation …

We address the existence and stability of one-dimensional (1D) holes and kinks and two-
dimensional (2D) vortex-holes nested in extended binary Bose mixtures, which emerge in …

Stable vortex lattices are basic dynamical patterns which have been demonstrated in
physical systems including superconductor physics, Bose-Einstein condensates …

Quantum droplets are ultradilute liquid states that emerge from the competitive interplay of
two Hamiltonian terms, the mean-field energy and beyond-mean-field correction, in a weakly …