2014/11/15 by Nigel R. Cooper, Steven H. Simon · 1 citation
Mathematics · Physics and Astronomy · #Boson #Cold Atom Physics and Bose-Einstein Condensates #Excitation #Fermion #Fractional quantum Hall effect #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum Hall effect #Quantum mechanics #Quantum spin Hall effect #Quantum, superfluid, helium dynamics #Spectroscopy #Statistics #cond-mat.mes-hall #cond-mat.quant-gas
paper · pdf · doi:10.1103/physrevlett.114.106802
published as Phys. Rev. Lett. 114, 106802 (2015)
arxiv created 2014/11/15 · openalex publication_date 2015/03/09 · arxiv updated 2015/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.