English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

A recent analysis has revealed singular but physically relevant 2D localizedvortex states with density ~ 1/r^{4/3} at r --> 0 and a convergent total norm,which are maintained by the interplay of the potential of the attraction to thecenter, ~ -1/r^2, and a self-repulsive quartic nonlinearity, produced by theLee-Huang-Yang correction to the mean-field dynamics of Bose-Einsteincondensates. In optics, a similar setting, with the density singularity ~ 1/r,is realized with the help of quintic self-defocusing. Here we presentphysically relevant antidark singular-vortex states in these systems, existingon top of a flat background. Numerical solutions for them are very accuratelyapproximated by the Thomas-Fermi wave function. Their stability exactly obeysan analytical criterion derived for small perturbations. It is demonstratedthat the singular vortices can be excited by the input in the form of ordinarynonsingular vortices, hence the singular modes can be created in theexperiment. We also consider regular (dark) vortices maintained by the flatbackground, under the action of the repulsive central potential ~ +1/r^2. Thedark modes with vorticities l = 0 and l = 1 are completely stable. In the casewhen the central potential is attractive, but the effective one, which includesthe centrifugal term, is repulsive, and a weak trapping potential ~ r^2 isadded, dark vortices with l = 1 feature an intricate pattern of alternatingstability and instability regions. Under the action of the instability, stateswith l = 1 travel along tangled trajectories, which stay in a finite areadefined by the trap. The analysis is also reported for dark vortices with l =2, which feature a complex structure of alternating intervals of stability andinstability against splitting. Lastly, simple but novel flat vortices are foundat the border between the anidark and dark ones.

Singular and regular vortices on top of a background pulled to the center