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Solid-state systems offer immense untapped potential for simulating exotic quantum phenomena. Here, the authors introduce a solid-state platform for analog quantum simulators utilizing S=1 spin centers implanted in diamond, interacting through magnetic dipole-dipole interactions. This system exhibits a range of quantum phases and critical behaviors that can be controlled by adjusting the magnetic field and the orientation of the spin centers. Notably, it features critical floating phases that terminate at Berezinskii--Kosterlitz--Thouless and Pokrovsky-Talapov transition points.
Losey et al. (Mon,) studied this question.