Signatures of Fractional Exclusion Statistics in the Spectroscopy of Quantum Hall Droplets
arXiv:1411.4168 · doi:10.1103/PhysRevLett.114.106802
Abstract
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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