Adiabatic ensemble control of a continuum of quantum systems - Département de mathématiques appliquées Accéder directement au contenu
Article Dans Une Revue SIAM Journal on Control and Optimization Année : 2018

Adiabatic ensemble control of a continuum of quantum systems

Résumé

In this article we discuss how to control a parameter-dependent family of quantum systems. Our technique is based on adiabatic approximation theory and on the presence of curves of conical eigenvalue intersections of the controlled Hamiltonian. As particular cases, we recover chirped pulses for two-level quantum systems and counter-intuitive solutions for three-level stimulated Raman adiabatic passage (STIRAP). The proposed technique works for systems evolving both in finite-dimensional and infinite-dimensional Hilbert spaces. We show that the assumptions guaranteeing ensemble controllability are structurally stable with respect to perturbations of the parametrized family of systems.
Fichier principal
Vignette du fichier
simultaneo-accepted-HAL.pdf (1.63 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01759830 , version 1 (05-04-2018)
hal-01759830 , version 2 (19-10-2018)

Identifiants

  • HAL Id : hal-01759830 , version 2

Citer

Nicolas Augier, Ugo Boscain, Mario Sigalotti. Adiabatic ensemble control of a continuum of quantum systems. SIAM Journal on Control and Optimization, 2018, 56, pp.4045-4068. ⟨hal-01759830v2⟩
662 Consultations
734 Téléchargements

Partager

Gmail Facebook X LinkedIn More