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Understanding analog quantum simulation dynamics in coupled ion-trap qubits

We study numerically a disordered transverse-field Ising Hamiltonian with long-range couplings. This model was recently investigated experimentally in a trapped-ion quantum simulator and was found to exhibit features of many-body localization at strong disorder. We use exact diagonalization to study the collective state preservation and the eigenstate entanglement structure as a function of both disorder strength and interaction range. Our numerical results, using the same system sizes as the experiment, verify the observation of many-body localization reported in the recent quantum simulation experiment, and point to directions for future experiments.

preprint2016arXivOpen access
Yang-Le WuS. Das Sarma
cond-mat.dis-nnquant-ph
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Yang-Le WuS. Das Sarma

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