Vortex localization in rotating clouds of bosons and fermions (12 pages)

H.-d. Chen, Chien‐Yi Wu

Amandine Aftalion

T. K. Ghosh

S. M. Reimann, M. Koskinen, Y. C. Yu +1 more

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.

S. Bargi, J. Christensson, H. Saarikoski +4 more

M. Toreblad, Y. C. Yu, S. M. Reimann +2 more

Vortices can form when finite quantal systems are set rotating. In the limit of small particle numbers, the vortex formation in a harmonically trapped fermion system, with repulsively interacting particles, shows similarities to the corresponding boson system, with vortices entering the rotating cloud for increasing rotation. For a larger number of fermions, N ≳ 15, the fermion vortices compete and co-exist with (Chamon–Wen) edge-reconstructed ground states, forcing some ground states, as for example the central single vortex, into the spectrum of excited states. Experimentally, the fermion system could, for instance, be electrons in a semiconductor heterostructure, a quantum dot, and the corresponding boson system, a Bose–Einstein condensate in a magneto optical trap.