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arXiv · 1711.01185

Observing the space- and time-dependent growth of correlations in dynamically tuned synthetic Ising antiferromagnets

Vincent Lienhard·Sylvain de Léséleuc·Daniel Barredo·Thierry Lahaye·Antoine Browaeys·Michael Schuler·Louis-Paul Henry·Andreas M. Läuchli
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Abstract

We explore the dynamics of artificial one- and two-dimensional Ising-like quantum antiferromagnets with different lattice geometries by using a Rydberg quantum simulator of up to 36 spins in which we dynamically tune the parameters of the Hamiltonian. We observe a region in parameter space with antiferromagnetic (AF) ordering, albeit with only finite-range correlations. We study systematically the influence of the ramp speeds on the correlations and their growth in time. We observe a delay in their build-up associated to the finite speed of propagation of correlations in a system with short-range interactions. We obtain a good agreement between experimental data and numerical simulations taking into account experimental imperfections measured at the single particle level. Finally, we develop an analytical model, based on a short-time expansion of the evolution operator, which captures the observed spatial structure of the correlations, and their build-up in time.

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Vincent Lienhard, Sylvain de Léséleuc, Daniel Barredo, Thierry Lahaye, Antoine Browaeys, Michael Schuler, Louis-Paul Henry, Andreas M. Läuchli. 2017-11-03. Observing the space- and time-dependent growth of correlations in dynamically tuned synthetic Ising antiferromagnets. https://doi.org/10.1103/physrevx.8.021070

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