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Different techniques to speed up quantum adiabatic processes are currently being explored for applications in atomic, molecular, and optical physics, such as transport, cooling and expansion, wave-packet splitting, or internal state control. Here we examine the limitations and capabilities of superadiabatic iterations to produce a sequence of shortcuts to adiabaticity. The general formalism is worked out as well as examples for population inversion in a two-level system.
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Ibañez et al. (2013) studied this question.
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