期刊
PHYSICAL REVIEW A
卷 82, 期 6, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.82.063422
关键词
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资金
- NSF [0747877]
- AFOSR [FA9550-10-1-0146]
- Div Of Civil, Mechanical, & Manufact Inn
- Directorate For Engineering [0747877] Funding Source: National Science Foundation
In this article we formulate frictionless atom cooling in harmonic traps as a time-optimal control problem, permitting imaginary values of the trap frequency for transient time intervals during which the trap becomes an expulsive parabolic potential. We show that the minimum time solution has a bang-bang form, where the frequency jumps suddenly at certain instants and then remains constant, and calculate estimates of the minimum cooling time for various numbers of such jumps. A numerical optimization method based on pseudospectral approximations is used to obtain suboptimal realistic solutions without discontinuities, which may be implemented experimentally.
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