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Using parametric conversion induced by a Shapiro-type resonance, we produceand characterize a two-mode squeezed vacuum state in a sodium spin 1Bose-Einstein condensate. Spin-changing collisions generate correlated pairs ofatoms in the $m=\pm 1$ Zeeman states out of a condensate with initially allatoms in $m=0$. A novel fluorescence imaging technique with sensitivity $\DeltaN \sim 1.6$ atom enables us to demonstrate the role of quantum fluctuations inthe initial dynamics and to characterize the full distribution of the finalstate. Assuming that all atoms share the same spatial wave function, we infer asqueezing parameter of 15.3\,dB.

Probing spin correlations in a Bose-Einstein condensate near the single atom level