Proposed as an elegant symmetry relating bosons and fermions, spacetime supersymmetry (SUSY) has been actively pursued in both particle physics and emergent phenomena in quantum critical points (QCPs) of topological quantum materials. However, how SUSY casts the light on nonequilibrium dynamics remains open. In this Letter, we investigate the Kibble-Zurek dynamics across a QCP with emergent $\mathcal{N}=2$ spacetime SUSY between the Dirac semimetal and a superconductor through a large-scale quantum Monte Carlo simulation. The scaling behaviors in the whole driven process are uncovered to satisfy the full finite-time scaling (FTS) forms. More crucially, we demonstrate that the emergent SUSY manifests in the intimate relation between the FTS behaviors of fermionic and bosonic observables, namely the fermions and bosons acquire identical anomalous dimensions. Our work not only brings a fundamental ingredient into the critical theory with SUSY, but also provides the theoretical guidance to experimentally detect QCPs with emergent SUSY from the perspectives of the Kibble-Zurek mechanism and FTS.

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• Dynamic critical phenomena
• Quantum phase transitions
• Quantum Monte Carlo