期刊
PHYSICAL REVIEW A
卷 84, 期 4, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.84.043415
关键词
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资金
- Basque Government [IT472-10, BFI08.151]
- Ministerio de Ciencia e Innovacion [FIS2009-12773-C02-01]
- Juan de la Cierva Programme
- National Natural Science Foundation of China [60806041, 61176118]
- Shanghai Leading Academic Discipline Program [S30105]
- AFOSR [FA9550-10-1-0146]
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.
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