2014/10/31 by Steve Campbell, Gabriele De Chiara, Mauro Paternostro +2 · 1 citation
Physics and Astronomy · #quant-ph #cond-mat.stat-mech
paper · pdf · doi:10.1103/physrevlett.114.177206
published as Phys. Rev. Lett. 114, 177206 (2015) · 4+3 pages, 4+1 figures. Accepted for publication in Phys. Rev. Lett
arxiv created 2015/04/28 · arxiv updated 2015/05/05
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 shortcut to adiabaticity and optimal control that allows us to achieve remarkably good performance in suppressing the defect production across the phase transition.