We perform spin-noise spectroscopy on an unpolarized ${}^{87}\mathrm{Rb}$ vapor in the spin-exchange-relaxation-free (SERF) regime. We observe noise spectral distributions that deviate strongly from Lorentzian models that accurately describe lower-density regimes. For example, at magnetic fields of $\sim 1 \mu \mathrm{T}$ and ${}^{87}\mathrm{Rb}$ densities of $\gtrsim 1\times {10}^{14}$ atoms/${\mathrm{cm}}^3$ we observe an asymmetric spin-noise distribution in which the resonance line is depleted by about half its power, with the diverted power becoming a broad spectral component that could be mistaken for optical shot noise. The results are in good agreement with recent models accounting for correlations between the ground hyperfine states. We discuss implications for quantum sensing and absolute noise calibration in spin squeezing and entanglement detection. The results suggest similarly anomalous spectra for other noise spectroscopies, when noise mechanisms are not aligned with system dynamics.

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• Atomic & molecular collisions
• Atomic & molecular processes in external fields
• Atomic spectra
• Collective effects in atomic physics
• Effects of atomic coherence on light propagation
• Light-matter interaction
• Magneto-optical spectra
• Optical pumping
• Zeeman effect
• Atomic ensemble
• Atomic systems
• Atoms
• Atomic Properties
• Magnetic moment
• Polarization
• Correlation function measurements
• First-principles calculations
• Optically detected magnetic resonance
• Spectroscopy
• Stochastic differential equations
• Weak measurements