Article Dans Une Revue Physical Review A : Atomic, molecular, and optical physics [1990-2015] Année : 2012

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

Résumé

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 Pontryagin's 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.

Dates et versions

hal-00742713 , version 1 (17-10-2012)

Identifiants

Citer

E. Assemat, Dominique Sugny. Connection between optimal control theory and adiabatic-passage techniques in quantum systems. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2012, 86, pp.023406. ⟨10.1103/PhysRevA.86.023406⟩. ⟨hal-00742713⟩
64 Consultations
0 Téléchargements

Altmetric

Partager

  • More