  Quantum-to-classical transition still eludes a full understanding. Out of its
multiple aspects, one has recently gained an increased attention - the
appearance of objective world out of the quantum. One particularly idea is that
objectivity appears thanks to specific quantum state structures formation
during the evolution, known as Spectrum Broadcast Structures (SBS). Despite
that quite some research was already performed on this strongest and most
fundamental form of objectivity, its practical realization in a concrete
physical medium has not been analyzed so far. In this work, we study the
possibility to simulate objectivization process via SBS formation using widely
studied Nitrogen-Vacancy centers in diamonds. Assuming achievable limits of
dynamical polarization technique, we show that for high, but experimentally
viable polarizations ($p>0.5$) of nuclear spins and for magnetic fields lower
than $\approx \! 20$ Gauss the state of the NV center and its nearest polarized
environment approaches reasonably well an SBS state.
