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Quantum spin dynamics and entanglement generation with hundreds of trapped ions

Published

Author(s)

Justin G. Bohnet, Brian C. Sawyer, Joseph W. Britton, Michael L. Wall, A M. Rey, Michael S. Foss-Feig, John J. Bollinger

Abstract

Quantum simulation of spin models can provide insights into a variety of hard problems, including the competition between entanglement and decoherence in open quantum systems. Trapped ions are an established platform for quantum simulation, but only systems with fewer than 20 ions have demonstrated quantum correlations. We benchmark non-equilibrium, quantum spin dynamics arising from an engineered Ising interaction in two-dimensional arrays of up to 230 9Be+ ions in a Penning trap. We verify entanglement at early times by measuring spin squeezing. At later times–where spin-squeezing is not a useful entanglement witness– we measure the full counting statistics of the non-Gaussian spin state. We find good agreement with ab-initio theory that includes decoherence. This quantum simulation of 2D Ising interactions with full connectivity demonstrates a key component of other spin models, such as the transverse-field Ising model with variable range interactions, in which controlled numerical solutions are classically intractable.
Citation
Science

Keywords

entanglement, Ising model, non-equilibrium dynamics, Penning ion trap, quantum magnetism, quantum simulation, transverse-field Ising model
Created June 15, 2016, Updated February 19, 2017