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arXiv · 1102.3645

Designing spin-spin interactions with one and two dimensional ion crystals in planar micro traps

J. Welzel·A. Bautista-Salvador·C. Abarbanel·V. Wineman-Fisher·C. Wunderlich·R. Folman·F. Schmidt-Kaler
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Abstract

We discuss the experimental feasibility of quantum simulation with trapped ion crystals, using magnetic field gradients. We describe a micro structured planar ion trap, which contains a central wire loop generating a strong magnetic gradient of about 20 T/m in an ion crystal held about 160 μm above the surface. On the theoretical side, we extend a proposal about spin-spin interactions via magnetic gradient induced coupling (MAGIC) [Johanning, et al, J. Phys. B: At. Mol. Opt. Phys. 42 (2009) 154009]. We describe aspects where planar ion traps promise novel physics: Spin-spin coupling strengths of transversal eigenmodes exhibit significant advantages over the coupling schemes in longitudinal direction that have been previously investigated. With a chip device and a magnetic field coil with small inductance, a resonant enhancement of magnetic spin forces through the application of alternating magnetic field gradients is proposed. Such resonantly enhanced spin-spin coupling may be used, for instance, to create Schrödinger cat states. Finally we investigate magnetic gradient interactions in two-dimensional ion crystals, and discuss frustration effects in such two-dimensional arrangements.

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J. Welzel, A. Bautista-Salvador, C. Abarbanel, V. Wineman-Fisher, C. Wunderlich, R. Folman, F. Schmidt-Kaler. 2011-05-24. Designing spin-spin interactions with one and two dimensional ion crystals in planar micro traps. https://doi.org/10.1140/epjd%2Fe2011-20098-y

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