Surprises from Small Quantum Hall Droplets
We show how spectroscopic experiments on a small Laughlin droplet of rotating bosons can directly demonstrate Haldane fractional exclusion statistics of quasihole excitations. The characteristic signatures appear in the single-particle excitation spectrum. (b) In the limit where the confining potential is very steep but also weak compared to the ultra-short ranged inter-particle interactions, we find that the eigenstates have a Jack polynomial structure, reminiscent of the one-dimensional Calogero-Sutherland model, and have an energy spectrum which is extremely different from the well known Luttinger liquid edge.
Hosted by Dong-Ling Deng.