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 shortcut to adiabaticity and optimal control that allows us to achieve remarkably good performance in suppressing the defect production across the phase transition.

4+3 pages, 4+1 figures. Accepted for publication in Phys. Rev. Lett

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• Shortcuts to adiabaticity for quantum annealing
• Controlling quantum critical dynamics of isolated systems
• Shortcuts to adiabatic cat-state generation in bosonic Josephson junctions
• Shortcuts to adiabaticity in the infinite-range Ising model by mean-field counter-diabatic driving
• Shortcut to adiabaticity in spinor condensates
• Fast-forward approach to adiabatic quantum dynamics of regular spin clusters: nature of geometry-dependent driving interactions
• Quantum adiabatic protocols using emergent local Hamiltonians
• Optimal protocols for finite-duration quantum quenches in the Luttinger model
• Towards generation of cat states in trapped ions set-ups via FAQUAD protocols and dynamical decoupling
• Flexible and experimentally feasible shortcut to quantum Zeno dynamic passage