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We study the $S>1/2$ antiferromagnetic Heisenberg model on the 1/5-depletedsquare lattice as a function of the ratio of the intra-plaquette coupling tothe inter-plaquette coupling. Using stochastic series expansion quantum MonteCarlo simulations, we numerically identify three quantum phases, including thedimer phase, N\'eel phase and plaquette valence bond solid phase. We alsoobtain the accurate quantum critical points that belong to the O(3)universality class using the large-scale finite-size scaling. Most importantly,we study the dynamic spin structure factors of different phases, which can bemeasured by inelastic neutron scattering experiments. The low-energyexcitations can be explained as triplons in the dimer phase and plaquettevalence bond solid phase. While in the N\'eel phase, the more prominent magnonmode can be found as the spin magnitude increases. Furthermore, we find abroader continuum at smaller $S$, which may be the dynamical signature ofnearly deconfined spinon excitations.

Ground States and Dynamical Properties of $S>1/2$ Quantum Heisenberg Model on the 1/5-Depleted Square Lattice