  We study a Hanbury Brown and Twiss (HBT) interferometer formed with chiral
edge channels of a quantum Hall system. HBT cross-correlations are calculated
for a device operating both in the integer and fractional quantum Hall regimes,
the latter at Laughlin filling fractions. We find that in both cases, when the
current is dominated by electron tunneling, current-current correlations show
antibunching, characteristic of fermionic correlations. When the
current-current correlations are dominated by quasiparticle tunneling, the
correlations reveal bunching, characteristic of bosons. For electron tunneling
we use Keldysh technique, and show that the result for fractional filling
factors can be obtained in a simple way from the results of the integer case.
It is shown that quasiparticle-dominated cross-current correlations can be
analyzed by means of a quantum master equation approach. We present here a
detailed derivation of the results of Ref. [Phys. Rev. Lett. 109, 106802
(2012)] and generalize them to all Laughlin fractions.
