Magnetic Field of Light Unlocks Topological Entanglement in Solids

High-harmonic generation (HHG) in solids is driven and typically understood by the electric field of light, with electron dynamics reflecting the properties of the bands. Here, we demonstrate that the magnetic field component plays a pivotal role in this process and induces topologically entangled bands in solids. By synchronizing electron momenta to the magnetic field we map the Brillouin zone of the solid onto the Bloch sphere, revealing Landau–Zener transitions that flip the Berry phase and generate entangled bands. This opto-magnetic effect enhances harmonic emission and establishes the magnetic field of light as a driver of quantum coherence. Our findings extend nonlinear and topological photonics, providing a new pathway to engineer quantum states and realize topologically protected phenomena in solids.