The fundamental polarization singularities of monochromatic light are normally associated
with invariance under coordinated rotations: symmetry operations that rotate the spatial …

Tailoring the spatial structure of light field in multiple degrees of freedom is a research
hotspot in recent years. The topology of light field, as one of the most fascinating structures …

In this Letter, we show that it is possible to structure the longitudinal polarization component
of light. We illustrate our approach by demonstrating linked and knotted longitudinal vortex …

A finite temperature hydrodynamic model is derived for the spin-1 ultracold bosons by the
many-particle quantum hydrodynamic method. It is presented as the two fluid model of the …

Knots and links are fundamental topological objects that play a key role in both classical and
quantum fluids. In this paper, we propose a scheme to generate torus vortex knots and links …

This paper investigates pre-and post-reconnection dynamics of an unperturbed trefoil
knotted vortex for circulation-based Reynolds numbers are less sensitive to the reconnection …

This paper presents intuitive interpretations of tightly focused beams of light by drawing
analogies with two-dimensional electrostatics, magnetostatics and fluid dynamics. We use a …

The topological transition of vortex lines to vortex rings and hopfions is numerically
investigated by the Gross–Pitaevskii equation in three-dimensional trapped Bose–Einstein …

Starting from the continuum definition of helicity, we derive from first principles its different
contributions for superfluid vortices. Our analysis shows that an internal twist contribution …

The long-time existence of topologically nontrivial configurations of quantum vortices in the
form of torus knots and links in trapped Bose-Einstein condensates is demonstrated …