Signatures of fractional exclusion statistics in the spectroscopy of quantum Hall droplets.
Change log
Authors
Cooper, Nigel R
Simon, Steven H
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.
Description
Keywords
cond-mat.quant-gas, cond-mat.quant-gas, cond-mat.mes-hall
Journal Title
Phys Rev Lett
Conference Name
Journal ISSN
0031-9007
1079-7114
1079-7114
Volume Title
114
Publisher
American Physical Society (APS)
Publisher DOI
Sponsorship
Engineering and Physical Sciences Research Council (EP/J017639/1)
Engineering and Physical Sciences Research Council (EP/K030094/1)
Engineering and Physical Sciences Research Council (EP/K030094/1)
This work was supported by EPSRC Grants
EP/J017639/1, EP/I032487/1, EP/I031014/1, and by
the Royal Society.