  Nonequilibrium dynamics is a paramount scenario for studying quantum systems.
The emergence of new features with no equilibrium counterpart, such as
dynamical quantum phase transition (DQPT), has attracted wide attention. In
this work, we depart from the well known Ising model and showcase an
experimentally accessible configuration of a negatively charged
Nitrogen-Vacancy center that interacts with nearby Carbon-13 nuclear spins. We
provide new insights into this system in the context of DQPT. We show that
nuclear spins undergo DQPT by appropriately choosing the relation between the
transverse and longitudinal components of an external magnetic field.
Furthermore, we can steer the DQPT via a time-dependent longitudinal magnetic
field and apply this control to enhance the estimation of the coupling strength
between the nuclear spins. Moreover, we propose a novel quenched dynamics that
originates from the rotation of the central electron spin, which controls the
DQPT relying on the anisotropy of the hyperfine coupling.
