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Shortcuts to adiabaticity: Fast-forward approach

E. TorronteguiDepartamento de Química Física, Universidad del País Vasco - Euskal Herriko Unibertsitatea, Apdo. 644, Bilbao, SpainS. Martínez-GaraotDepartamento de Química Física, Universidad del País Vasco - Euskal Herriko Unibertsitatea, Apdo. 644, Bilbao, SpainA. RuschhauptInstitut für Theoretische Physik, Leibniz Universität Hannover, Appelstraße 2, 30167 Hannover, GermanyJ. G. MugaDepartamento de Química Física, Universidad del País Vasco - Euskal Herriko Unibertsitatea, Apdo. 644, Bilbao, Spain
2012en
ABI

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The ``fast-forward''approach by Masuda and Nakamura generates driving potentials to accelerate slow quantum adiabatic dynamics. First we present a streamlined version of the formalism that produces the main results in a few steps. Then we show the connection between this approach and inverse engineering based on Lewis-Riesenfeld invariants. We identify in this manner applications in which the engineered potential does not depend on the initial state. Finally we discuss more general applications exemplified by wave splitting processes.

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