  We consider a thought experiment where two distinct species of 2D particles
in a perpendicular magnetic field interact via repulsive potentials. If the
magnetic field and the interactions are strong enough, one type of particles
forms a Laughlin state and the other ones couple to Laughlin quasi-holes. We
show that in this situation, the motion of the second type of particles is
described by an effective Hamiltonian, corresponding to the magnetic gauge
picture for non-interacting anyons. The argument is in accord with, but
distinct from, the Berry phase calculation of Arovas-Schrieffer-Wilczek. It
suggests possibilities to observe the influence of effective anyon statistics
in fractional quantum Hall systems.
