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Paper detail

Optimal trajectories for efficient atomic transport without final excitation

We design optimal harmonic-trap trajectories to transport cold atoms without final excitation, combining an inverse engineering techniqe 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 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.

preprint2011arXivOpen access
Xi ChenE. TorronteguiDionisis StefanatosJr-Shin LiJ. G. Muga
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Xi ChenE. TorronteguiDionisis StefanatosJr-Shin LiJ. G. Muga

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