Improving shortcuts to adiabaticity by iterative interaction pictures

Abstract

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.