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 …

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 …

Creation of stable intrinsically anisotropic self-bound states with embedded vorticity is a
challenging issue. Previously, no such states in Bose–Einstein condensates (BECs) or other …

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 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 predict that one-and two-dimensional self-bound quantum droplets, forming in Bose–
Einstein condensates in the presence of Lee–Huang–Yang (LHY) quantum corrections to …

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

What we believe is a new scheme for producing semidiscrete self-trapped vortices (“swirling
photon droplets”) in photonic crystals with competing quadratic (χ (2)) and self-defocusing …