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Observing the Space- and Time-Dependent Growth of Correlations in Dynamically Tuned Synthetic Ising Models with Antiferromagnetic Interactions

2017/11/03 by Vincent Lienhard, Sylvain de Léséleuc, Daniel Barredo +5 · 3 citations
Physics and Astronomy · #Antiferromagnetism #Ising model #Lattice (music) #Physics of Superconductivity and Magnetism #Quantum #Quantum many-body systems #Rydberg formula #Spins #Theoretical and Computational Physics #cond-mat.quant-gas #physics.atom-ph #quant-ph

paper · pdf · doi:10.1103/physrevx.8.021070

published as Phys. Rev. X 8, 021070 (2018)

arxiv created 2017/11/03 · openalex created_date 2017/11/10 · openalex publication_date 2018/06/18 · arxiv updated 2018/06/20 · openalex updated_date 2026/08/06

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, in a region in parameter space, the onset of 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 buildup 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 buildup in time.

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