  We study quasiparticle dynamics in two-dimensional (2D) integrable Kitaev
honeycomb model both without and in the presence of an external periodic drive.
We identify light-cones in wavefunction propagation as a signature of quantum
caustic, i.e. bright structures formed during quantum dynamics analogous to
that of imperfect focusing in geometrical optics. We show that this dynamics
follows an angle in spatial direction and it is anisotropic with respect to
model parameters. Using coalescence of critical points, we provide an exact
solution to the envelope of caustic, which corresponds to the Lieb-Robinson
bound in 2D. Further, consedering the system to be periodically driven, we
point out that the caustic structure completely changes in presence of external
time dependent drive.
