Spatiotemporal control of inverse-Faraday magnetization topology.

Dynamic topologies of inverse-Faraday magnetization remain largely unexplored. Here, we establish a deterministic strategy for the spatiotemporal control of nonequilibrium inverse-Faraday magnetization topology through temporally modulated dual-vortex vector fields under high-numerical-aperture focusing. Phase beating drives coherent topology rotation, whereas amplitude modulation induces reversible topology breathing. The resulting dynamics arise from nonparaxial vectorial interference that continuously redistributes longitudinal and transverse spin components within the focal volume. A dynamic phase diagram reveals controllable regimes of topology deformation, spin localization, and magnetization redistribution. These findings establish a deterministic framework that extends inverse-Faraday magnetization from static topology generation to programmable dynamic topology engineering, providing a route toward spatiotemporal control of magnetization topologies.