  We study theoretically nonequilibrium noise in the fractional quantum Hall
regime for an Aharonov Bohm ring which has a third contact in the middle of the
ring. We show that as a consequence of their fractional statistics the
tunneling of a Laughlin quasiparticle between the inner and outer edge of the
ring changes the effective Aharonov Bohm flux experienced by quasiparticles
going around the ring, leading to a change in the conductance across the ring.
A small current in the middle contact therefore gives rise to fluctuations in
the current flowing across the ring which resemble random telegraph noise. We
analyze this noise using the chiral Luttinger liquid model. At low frequencies
the telegraph noise varies inversely with the quasiparticle tunneling current,
and can be much larger than the shot noise. We propose that combining the
Aharonov Bohm effect with a noise measurement provides a direct method for
observing fractional statistics.
