Arrays of individually controlled ions suitable for two-dimensional quantum simulations

Manuel Mielenz, Henning Kalis, Matthias Wittemer, Frederick Hakelberg, Ulrich Warring (), Roman Schmied, Matthew Blain, Peter Maunz, David L. Moehring, Dietrich Leibfried and Tobias Schaetz
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Manuel Mielenz: Albert-Ludwigs-Universität Freiburg, Physikalisches Institut
Henning Kalis: Albert-Ludwigs-Universität Freiburg, Physikalisches Institut
Matthias Wittemer: Albert-Ludwigs-Universität Freiburg, Physikalisches Institut
Frederick Hakelberg: Albert-Ludwigs-Universität Freiburg, Physikalisches Institut
Ulrich Warring: Albert-Ludwigs-Universität Freiburg, Physikalisches Institut
Roman Schmied: University of Basel
Matthew Blain: Sandia National Laboratories
Peter Maunz: Sandia National Laboratories
David L. Moehring: Sandia National Laboratories
Dietrich Leibfried: National Institute of Standards and Technology
Tobias Schaetz: Albert-Ludwigs-Universität Freiburg, Physikalisches Institut

Nature Communications, 2016, vol. 7, issue 1, 1-9

Abstract: Abstract A precisely controlled quantum system may reveal a fundamental understanding of another, less accessible system of interest. A universal quantum computer is currently out of reach, but an analogue quantum simulator that makes relevant observables, interactions and states of a quantum model accessible could permit insight into complex dynamics. Several platforms have been suggested and proof-of-principle experiments have been conducted. Here, we operate two-dimensional arrays of three trapped ions in individually controlled harmonic wells forming equilateral triangles with side lengths 40 and 80 μm. In our approach, which is scalable to arbitrary two-dimensional lattices, we demonstrate individual control of the electronic and motional degrees of freedom, preparation of a fiducial initial state with ion motion close to the ground state, as well as a tuning of couplings between ions within experimental sequences. Our work paves the way towards a quantum simulator of two-dimensional systems designed at will.

Date: 2016
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DOI: 10.1038/ncomms11839

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