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We report an experimental approach to excite, stabilize, and continuouslytrack Bloch sphere orbits of dipolar-coupled nuclear spins in a solid. Wedemonstrate these results on a model system of hyperpolarized 13C nuclear spinsin diamond. Without quantum control, inter-spin coupling leads to rapid spindecay in T2*=1.5ms. We elucidate a method to preserve trajectories for overT2'>27s at excursion solid angles up to 16 degrees, even in the presence ofstrong inter-spin coupling. This exploits a novel spin driving strategy thatthermalizes the spins to a long-lived dipolar many-body state, while drivingthem in highly stable orbits. We show that motion of the spins can bequasi-continuously tracked for over 35s in three dimensions on the Blochsphere. In this time the spins complete >68,000 closed precession orbits,demonstrating high stability and robustness against error. We experimentallyprobe the transient approach to such rigid motion, and thereby show the abilityto engineer highly stable "designer" spin trajectories. Our results suggest newways to stabilize and interrogate strongly-coupled quantum systems throughperiodic driving and portend powerful applications of rigid spin orbits inquantum sensing.

Continuously tracked, stable, large excursion trajectories of dipolar coupled nuclear spins