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Surprises from Small Quantum Hall Droplets

September 27, 2016 - 11:00am
Steve Simon

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.

2205 John S. Toll Physics Building

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