  We study quench dynamics of bosonic fractional quantum Hall systems in small
lattices with cylindrical boundary conditions and low particle density. The
states studied have quasiholes or quasiparticles relative to the bosonic
Laughlin state at half filling. Pinning potentials are placed at edge sites (or
sites close to the edges) and are then turned off. Because the edges of
fractional quantum Hall systems host chiral edge modes, we expect chiral
dynamics, with motion in one direction for positive potentials pinning
quasiholes, and motion in the other direction for negative potentials pinning
quasiparticles. We numerically show that chiral motion of the density
distribution is observed and robust for the case with positive potentials
(quasiholes), but that there is no noticeable chiral motion for negative
potentials (quasiparticles). The comparison of the numerical ground states with
model lattice Laughlin wavefunctions suggests that both positive and negative
potentials do create and pin anyons that are not necessarily well-separated on
small lattices. Initializing the dynamics with the model state also shows the
lack of chiral dynamics of quasiparticles. Our results suggest that, in small
lattices with low particle density, quasiparticles are strongly adversely
affected in dynamical processes, whereas quasiholes are dynamically robust.
