# Rotating binary Bose-Einstein condensates and vortex clusters in quantum droplets

## TL;DR

This paper investigates the formation and stability of vortex clusters in quantum droplets derived from Bose-Einstein condensates, highlighting new methods to generate persistent currents in binary condensates under rotation.

## Contribution

It introduces the concept of vortex cluster formation in quantum droplets and proposes a novel approach to create stable vortex states in binary condensates using non-monotonic traps.

## Key findings

- Multiple singly-quantized vortices can form in quantum droplets at moderate angular momenta.
- Droplets with vortex precursors can remain self-bound after trap removal for certain times.
- Persistent currents can be induced in binary condensates using non-monotonic trapping potentials.

## Abstract

Quantum droplets may form out of a gaseous Bose-Einstein condensate, stabilized by quantum fluctuations beyond mean field. We show that multiple singly-quantized vortices may form in these droplets at moderate angular momenta in two dimensions. Droplets carrying these precursors of an Abrikosov lattice remain self-bound for certain timescales after switching off an initial harmonic confinement. Furthermore, we examine how these vortex-carrying droplets can be formed in a more pertubation-resistant setting, by starting from a rotating binary Bose-Einstein condensate and inducing a metastable persistent current via a non-monotonic trapping potential.