Vortex localization in rotating clouds of bosons and fermions

TL;DR

This paper investigates vortex formation and localization in rotating quantum systems of bosons and fermions, exploring their relation to Wigner molecules and particle-hole duality, regardless of particle statistics.

Contribution

It introduces a unified analysis of vortex localization and Wigner molecule formation in high angular momentum states, emphasizing particle-hole duality and trial wave functions.

Findings

Vortex localization occurs in both bosonic and fermionic systems.

Vortex states relate to stable Wigner molecules at high angular momentum.

Particle-hole duality provides insight into vortex phenomena.

Abstract

Finite quantal systems at high angular momenta may exhibit vortex formation and localization. These phenomena occur independent of the statistics of the repulsively interacting particles, which may be of bosonic or fermionic nature. We analyze the relation between vortex localization and formation of stable Wigner molecules at high angular momenta in the view of particle-hole duality.Trial wave functions for the vortex states and the corresponding fermion-boson relations are discussed.