Shortcut to adiabaticity in the Lipkin-Meshkov-Glick model.

@article{Campbell2014ShortcutTA,
  title={Shortcut to adiabaticity in the Lipkin-Meshkov-Glick model.},
  author={Steve Campbell and Gabriele De Chiara and Mauro Paternostro and G. Massimo Palma and Rosario Fazio},
  journal={Physical review letters},
  year={2014},
  volume={114 17},
  pages={
          177206
        }
}
We study transitionless quantum driving in an infinite-range many-body system described by the Lipkin-Meshkov-Glick model. Despite the correlation length being always infinite the closing of the gap at the critical point makes the driving Hamiltonian of increasing complexity also in this case. To this aim we develop a hybrid strategy combining a shortcut to adiabaticity and optimal control that allows us to achieve remarkably good performance in suppressing the defect production across the… 

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See Supplementary Information in the Appendices