125 Scopus citations

Abstract

We design optimal harmonic-trap trajectories to transport cold atoms without final excitation, combining an inverse engineering technique based on Lewis-Riesenfeld invariants with optimal control theory. Since actual traps are not really harmonic, we keep the relative displacement between the center of mass of the transport modes and the trap center bounded. Under this constraint, optimal protocols are found according to different physical criteria. The minimum time solution has a "bang-bang" form, and the minimum displacement solution is of "bang-off-bang" form. The optimal trajectories for minimizing the transient energy are also discussed.

Original languageEnglish
Article number043415
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume84
Issue number4
DOIs
StatePublished - Oct 12 2011

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