6533b7d9fe1ef96bd126c487

RESEARCH PRODUCT

Shortcut to Adiabaticity in the Lipkin-Meshkov-Glick Model

Gabriele De ChiaraG. Massimo PalmaSteve CampbellRosario FazioRosario FazioMauro Paternostro

subject

Quantum phase transitionPhysicsPhase transitionQuantum PhysicsStatistical Mechanics (cond-mat.stat-mech)General Physics and AstronomyFOS: Physical sciencesNanotechnologyOptimal controlSettore FIS/03 - Fisica Della Materiashortcut to adiabaticity Lipkin-Meshkov-Glick Model many body hamiltoniansymbols.namesakesymbolsStatistical physicsHamiltonian (quantum mechanics)Quantum Physics (quant-ph)QuantumShortcut to adiabaticity in the Lipkin-Meshkov-Glick modelCondensed Matter - Statistical Mechanics

description

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.

10.1103/physrevlett.114.177206https://pure.qub.ac.uk/en/publications/dc95203b-5cf5-491d-80fb-1b397baeb9d4