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Connection between optimal control theory and adiabatic-passage techniques in quantum systems

E. Assémat, D. Sugny
2012 Physical Review A. Atomic, Molecular, and Optical Physics  

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2012 pre-print arXiv:1208.2326v1 fatcat:htbd5e42xrbgjcfvtt2m7m6miu
This work explores the relationship between optimal control theory and adiabatic passage techniques in quantum systems. The study is based on a geometric analysis of the Hamiltonian dynamics constructed from the Pontryagin Maximum Principle. In a three-level quantum system, we show that the Stimulated Raman Adiabatic Passage technique can be associated to a peculiar Hamiltonian singularity. One deduces that the adiabatic pulse is solution of the optimal control problem only for a specific cost
more » ... unctional. This analysis is extended to the case of a four-level quantum system.
doi:10.1103/physreva.86.023406 fatcat:73fqyjf4vnhuvgdmz5tgvmmtki
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E. Assémat, D. Sugny. "Connection between optimal control theory and adiabatic-passage techniques in quantum systems." Physical Review A. Atomic, Molecular, and Optical Physics 86.2 (2012)