Vortex-ring quantum droplets in a radially-periodic potential

Bin Liu, Yi Xi Chen, Ao Wei Yang, Xiao Yan Cai, Yan Liu, Zhi Huan Luo, Xi Zhou Qin, Xun Da Jiang*, Yong Yao Li, Boris A. Malomed

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We establish stability and characteristics of two-dimensional (2D) vortex ring-shaped quantum droplets (QDs) formed by binary Bose-Einstein condensates. The system is modeled by the Gross-Pitaevskii (GP) equation with the cubic term multiplied by a logarithmic factor (as produced by the Lee-Huang-Yang correction to the mean-field theory) and a potential which is a periodic function of the radial coordinate. Narrow vortex rings with high values of the topological charge, trapped in particular circular troughs of the radial potential, are produced. These results suggest an experimentally relevant method for the creation of vortical QDs (thus far, only zero-vorticity ones have been reported). The 2D GP equation for the narrow rings is approximately reduced to the one-dimensional form, which makes it possible to study the modulational stability of the rings against azimuthal perturbations. Full stability areas are delineated for these modes. The trapping capacity of the circular troughs is identified for the vortex rings with different winding numbers (WNs). Stable compound states in the form of mutually nested concentric multiple rings are constructed too, including ones with opposite signs of the WNs. Other robust compound states combine a modulationally stable narrow ring in one circular potential trough and an azimuthal soliton performing orbital motion in an adjacent one. The results may be used to design a device employing coexisting ring-shaped modes with different WNs for data storage.

Original languageEnglish
Article number123026
JournalNew Journal of Physics
Issue number12
StatePublished - 1 Dec 2022


  • Gross-Pitaevskii equation
  • dynamics
  • quantum droplets
  • radially-periodic potential


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