Measuring correlations from the collective spin fluctuations of a large ensemble of lattice-trapped dipolar spin-3 atoms

Youssef Aziz Alaoui; Bihui Zhu; Sean Robert Muleady; William Dubosclard; Tommaso Roscilde; Ana Maria Rey; Bruno Laburthe-Tolra; Laurent Vernac

arXiv · 2201.07277

Measuring correlations from the collective spin fluctuations of a large ensemble of lattice-trapped dipolar spin-3 atoms

Youssef Aziz Alaoui·Bihui Zhu·Sean Robert Muleady·William Dubosclard·Tommaso Roscilde·Ana Maria Rey·Bruno Laburthe-Tolra·Laurent Vernac

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Abstract

We perform collective spin measurements to study the buildup of two-body correlations between $\approx10^4$ 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 short and long time expansions, and numerical simulations. Our work shows that measuring fluctuations of spin populations provides new ways to characterize correlations in quantum many-body systems, for $s>1/2$ spins

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Youssef Aziz Alaoui, Bihui Zhu, Sean Robert Muleady, William Dubosclard, Tommaso Roscilde, Ana Maria Rey, Bruno Laburthe-Tolra, Laurent Vernac. 2022-01-18. Measuring correlations from the collective spin fluctuations of a large ensemble of lattice-trapped dipolar spin-3 atoms. https://arxiv.org/abs/2201.07277

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