A connection between optimal control theory and adiabatic passage techniques in quantum systems

Autor:	Assémat, E., Sugny, D.
Rok vydání:	2012
Předmět:	Quantum Physics Physics - Chemical Physics
Zdroj:	Phys. Rev. A 86, 023406 (2012)
Druh dokumentu:	Working Paper
DOI:	10.1103/PhysRevA.86.023406
Popis:	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 functional. This analysis is extended to the case of a four-level quantum system. Comment: 19 pages, 6 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1208.2326 Zobrazit plný text záznamu View this record from Arxiv