TY - JOUR AU - Youssef Alaoui AU - Bihui Zhu AU - Sean Muleady AU - William Dubosclard AU - Tommaso Roscilde AU - Ana Maria Rey AU - Bruno Laburthe-Tolra AU - Laurent Vernac AB - We perform collective spin measurements to study the buildup of two-body correlations between ≈104 spin s=3 chromium atoms pinned in a 3D optical lattice. The spins interact via long range and anisotropic dipolar interactions. From the fluctuations of total magnetization, measured at the standard quantum limit, we estimate the dynamical growth of the connected pairwise correlations associated with magnetization. The quantum nature of the correlations is assessed by comparisons with analytical short- and long-time expansions and numerical simulations. Our Letter shows that measuring fluctuations of spin populations for s>1/2 spins provides new ways to characterize correlations in quantum many-body systems. BT - Physical Review Letters DA - 2022-07 DO - 10.1103/PhysRevLett.129.023401 IS - 2 N2 - We perform collective spin measurements to study the buildup of two-body correlations between ≈104 spin s=3 chromium atoms pinned in a 3D optical lattice. The spins interact via long range and anisotropic dipolar interactions. From the fluctuations of total magnetization, measured at the standard quantum limit, we estimate the dynamical growth of the connected pairwise correlations associated with magnetization. The quantum nature of the correlations is assessed by comparisons with analytical short- and long-time expansions and numerical simulations. Our Letter shows that measuring fluctuations of spin populations for s>1/2 spins provides new ways to characterize correlations in quantum many-body systems. PY - 2022 EP - 023401 T2 - Physical Review Letters TI - Measuring correlations from the collective spin fluctuations of a large ensemble of lattice-trapped dipolar spin-3 atoms UR - https://link.aps.org/doi/10.1103/PhysRevLett.129.023401 VL - 129 ER -