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Using fast electron spin resonance spectroscopy of a single nitrogen-vacancydefect in diamond, we demonstrate real-time readout of the Overhauser fieldproduced by its nuclear spin environment under ambient conditions. Thesemeasurements enable narrowing the Overhauser field distribution bypost-selection, corresponding to a conditional preparation of the nuclear spinbath. Correlations of the Overhauser field fluctuations are quantitativelyinferred by analysing the Allan deviation over consecutive measurements. Thismethod allows to extract the dynamics of weakly coupled nuclear spins of thereservoir.

Probing the dynamics of a nuclear spin bath in diamond through time-resolved central spin magnetometry