Shortcut to Adiabaticity in the Lipkin-Meshkov-Glick Model

Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, 117543 Singapore(Dated: October 10, 2014)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 criticalpoint makes the driving Hamiltonian of increasing complexity also in this case. To this aim we develop ahybrid strategy combining shortcut to adiabaticity and optimal control that allows us to achieve remarkablygood performance in suppressing the defect production across the phase transition.