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Programmable 2D Arrays of Interacting Quantum Spins Using Trapped Ions

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[Technical Report, Final Report]

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Trustees of Indiana University

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This document summarizes the advances in research performed under AFOSR YIP award FA9550-16-1-0277. The scope of this work spanned both theory and experimental developments. On the theory side, three publications proposed 1 new approaches to quantum simulation in two dimensional ion arrays, 2 a new method to achieve string-order in ion systems by periodically driving the interactions, and 3 the first proposal for realizing full Heisenberg interactions in an ion lattice. Experimentally, this work started from a vacant laboratory, and built up a full suite of laser systems, ion traps, and vacuum chambers. In the final year of this project, these efforts culminated in the trapping of Yb within a two-dimensional array as well as quantum manipulation of these ion configurations.

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[A, Approved For Public Release]