  The time evolution of a topological Su-Schrieffer-Heeger chain is analyzed
through the statistics of speckle patterns. The emergence of topological edge
states dramatically affects the dynamical fluctuations of the wavefunction. The
intensity statistics is found to be described by a family of noncentral
chi-squared distributions, with the noncentrality parameter reflecting on the
degree of edge-state localization. The response of the speckle contrast with
respect to the dimerization of the chain is explored in detail as well as the
role of chiral symmetry-breaking disorder, number of edge states, their energy
gap, and the locations between which the transport occurs. In addition to
providing a venue for speckle customization, our results appeal to the use of
speckle patterns for characterization of nontrivial topological properties.
