# Semidiscrete quantum droplets and vortices

## TL;DR

This paper demonstrates the creation of stable semi-discrete quantum droplets and vortices in a binary bosonic condensate array, revealing new vortex states with high vorticity and transitions induced by trapping potentials.

## Contribution

It introduces the first stable semi-discrete vortex quantum droplets with multiple vorticity, combining Lee-Huang-Yang corrections and transverse coupling in a novel setting.

## Key findings

- Stable semi-discrete quantum droplets and vortices with vorticity up to 5.
- Trapping potential induces squeezing transitions and mode changes.
- First realization of stable semi-discrete vortex quantum droplets.

## Abstract

We consider a binary bosonic condensate with weak mean-field (MF) residual repulsion, loaded in an array of nearly one-dimensional traps coupled by transverse hopping. With the MF force balanced by the effectively one-dimensional attraction, induced in each trap by the Lee-Hung-Yang correction (produced by quantum fluctuations around the MF state), stable onsite-centered and intersite-centered semi-discrete quantum droplets (QDs) emerge in the array, as fundamental ones and self-trapped vortices, with winding numbers, at least, up to 5, in both tightly-bound and quasi-continuum forms. The application of a relatively strong trapping potential leads to squeezing transitions, which increase the number of sites in fundamental QDs, and eventually replace vortex modes by fundamental or dipole ones. The results provide the first realization of stable semi-discrete vortex QDs, including ones with multiple vorticity.