Optimal trajectories for efficient atomic transport without final excitation

Details Optimal trajectories for efficient atomic transport without final excitation Optimal trajectories for efficient atomic transport without final excitation

2011-08-08

arxiv.org/abs/1108.1703v1

Phys. Rev. A 84, 043415 (2011)

Physics

Quantum Physics

10 pages, 7 figures

Scientific paper

10.1103/PhysRevA.84.043415

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.

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