title: Shortcut to adiabaticity in the Lipkin-Meshkov-Glick model.
abstract: 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 phase transition.
authors.affiliation: Centre for Theoretical Atomic, Molecular and Optical Physics, School of Mathematics and Physics, Queen's University, Belfast BT7 1NN, United Kingdom.
authors.forename: Steve
authors.initials: S
authors.lastname: Campbell
authors.affiliation: Centre for Theoretical Atomic, Molecular and Optical Physics, School of Mathematics and Physics, Queen's University, Belfast BT7 1NN, United Kingdom.
authors.forename: Gabriele
authors.initials: G
authors.lastname: De Chiara
authors.affiliation: Centre for Theoretical Atomic, Molecular and Optical Physics, School of Mathematics and Physics, Queen's University, Belfast BT7 1NN, United Kingdom.
authors.forename: Mauro
authors.initials: M
authors.lastname: Paternostro
authors.affiliation: NEST, Istituto Nanoscienze-CNR and Dipartimento di Fisica e Chimica, Università degli Studi di Palermo, via Archirafi 36, I-90123 Palermo, Italy.
authors.forename: G Massimo
authors.initials: GM
authors.lastname: Palma
authors.affiliation: NEST, Scuola Normale Superiore and Istituto Nanoscienze CNR, I-56126 Pisa, Italy.|Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, 117543 Singapore.
authors.forename: Rosario
authors.initials: R
authors.lastname: Fazio