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We exploit spin noise spectroscopy (SNS) to directly observe build-up ofdynamic nuclear polarization and relaxation of a perturbed nuclear spin-systemto its equilibrium state in a single-shot experiment. The SNS experiments wereperformed on a layer of bulk $n$-type GaAs embedded into a high-finessemicrocavity with negative detuning. The dynamic nuclear spin polarization isobserved as a shift of the peak in the electron spin noise spectrum due to thebuild-up of the Overhauser field acting on the electron spin. The relaxationdynamics of nuclear spin system was revealed in the time-resolved SNSexperiments where the exponential decay of the Overhauser field withcharacteristic timescale of hundreds of seconds was detected. We show thatelliptically polarized laser beam tuned in resonance with the cavity mode,whose energy corresponds to nominal transparency of the semiconductor, cannevertheless produce a sizable nuclear polarization.

Single-shot measurement of transient nuclear magnetization with spin-noise spectroscopy in n-GaAs microcavities