Publications by Steve Simon

Signatures of fractional exclusion statistics in the spectroscopy of quantum Hall droplets.

Physical review letters 114 (2015) 106802-

NR Cooper, SH 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. We show that the transitions are governed by a "many-body selection rule" which allows one to relate the number of allowed transitions to the number of quasihole states on a finite geometry. We illustrate the theory with numerically exact simulations of small numbers of particles.

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