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The nuclear spins of ionized donors in silicon have become an interestingquantum resource due to their very long coherence times. Their perfectisolation, however, comes at a price, since the absence of the donor electronmakes the nuclear spin difficult to control. We demonstrate that thequadrupolar interaction allows us to effectively tune the nuclear magneticresonance of ionized arsenic donors in silicon via strain and determine the twononzero elements of the S tensor linking strain and electric field gradients inthis material to $S_{11}=1.5\times10^{22}$ V/m$^2$ and $S_{44}=6\times 10^{22}$V/m$^2$. We find a stronger benefit of dynamical decoupling on the coherenceproperties of transitions subject to first-order quadrupole shifts than onthose subject to only second-order shifts and discuss applications ofquadrupole physics including mechanical driving of magnetic resonance, coolingof mechanical resonators, and strain-mediated spin coupling.

Interaction of Strain and Nuclear Spins in Silicon: Quadrupolar Effects on Ionized Donors