Spin dynamics in an one-dimensional randomly interacting dipolar spin system

Understanding the dynamics of positionally disordered, dipolar interacting spin systems has been a question whose answer remains elusive. In particular, this question is central to solid state-based platforms such as defect centers in diamond since positions of these defects are randomly generated during growth. In addition to the ongoing efforts to create positionally ordered defect lattices, progress has been made towards generating controlled entanglement in the absence of an ordered lattice. Here we investigate the dynamics of a positionally disordered, quasi-1D spin system inside diamond composed of substitutional nitrogen defects (P1 centers) and nitrogen-vacancy centers (NV centers). We infer and verify their dimensionality with nanoscale materials characterization and decoherence-based quantum sensing techniques. In addition, using NV as a local probe of P1 dynamics, we measure the spin dynamics of the unpolarized P1 ensemble. Generating such low dimensional spin systems opens avenues for studying disordered 1D interacting spin systems.