Demonstration of diamond nuclear spin gyroscope

We demonstrate operation of a rotation sensor based on the $^{14}$N nuclear spins intrinsic to nitrogen-vacancy (NV) color centers in diamond. The sensor employs optical polarization and readout of the nuclei and a radio-frequency double-quantum pulse protocol that monitors $^{14}$N nuclear spin precession. This measurement protocol suppresses the sensitivity to temperature variations in the $^{14}$N quadrupole splitting, and it does not require microwave pulses resonant with the NV electron spin transitions. The device was tested on a rotation platform and demonstrated a sensitivity of 4.7 $^{\circ}/\sqrt{\rm{s}}$ (13 mHz/$\sqrt{\rm{Hz}}$), with bias stability of 0.4 $^{\circ}$/s (1.1 mHz).