  We study the stability and characteristics of two-dimensional (2D) circular
quantum droplets (QDs) with embedded hidden vorticity (HV), i.e., opposite
angular momenta in two components, formed by binary Bose-Einstein condensates
(BECs) trapped in a radially-periodic potential. The system is modeled by the
Gross-Pitaevskii (GP) equations with the Lee-Huang-Yang (LHY) terms, which
represent the higher-order self-repulsion induced by quantum fluctuations
around the meanfield state, and a potential which is a periodic function of the
radial coordinate. Ring-shaped QDs with high winding numbers (WNs) of the HV
type, which are trapped in particular circular troughs of the radial potential,
are produced by means of the imaginary-time-integration method. Effects of the
depth and period of the potential on these QD states are studied. The trapping
capacity of individual circular troughs is identified. Stable compound states
in the form of nested multiring patterns are constructed too, including ones
with WNs of opposite signs. The stably coexisting ringshaped QDs with different
WNs can be used for the design of BEC-based data-storage schemes.
