  The excitations of the Heisenberg antiferromagnetic spin chain in zero field
are known as spinons. As pairwise-created fractionalized excitations, spinons
are important in the understanding of inelastic neutron scattering experiments
in (quasi) one-dimensional materials. In the present work, we consider the real
space-time dynamics of spinons originating from a local spin flip on the
antiferromagnetic ground state of the (an)isotropic Heisenberg spin-1/2 model
and the Babujan-Takhtajan spin-1 model. By utilizing algebraic Bethe ansatz
methods at finite system size to compute the expectation value of the local
magnetization and spin-spin correlations, spinons are visualized as propagating
domain walls in the antiferromagnetic spin ordering with anisotropy dependent
behavior. The spin-spin correlation after the spin flip displays a light cone,
satisfying the Lieb-Robinson bound for the propagation of correlations at the
spinon velocity.
