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

Dynamics of quasiholes and quasiparticles at the edges of small lattices