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Shortcuts to adiabaticity in three-level systems using Lie transforms

Shortcuts to adiabaticity in three-level systems using Lie transforms

Sped-up protocols (shortcuts to adiabaticity) that drive a system quickly to the same populations than a slow adiabatic process may involve Hamiltonian terms difficult to realize in practice. We use the dynamical symmetry of the Hamiltonian to find, by means of Lie transforms, alternative Hamiltonians that achieve the same goals …