Accéder directement au contenu Accéder directement à la navigation
Article dans une revue

Low-rank numerical approximations for high-dimensional Lindblad equations

Abstract : A systematic numerical approach to approximate high-dimensional Lindblad equations is described. It is based on a deterministic rank m approximation of the density operator, the rank m being the only parameter to adjust. From a known initial density operator, this rank m approximation gives at each time step an estimate of its largest m eigenvalues with their associated eigenvectors. A numerical integration scheme is also proposed. Its numerical efficiency in the case of a rank m=12 approximation is demonstrated for oscillation revivals of 50 atoms interacting resonantly with a slightly damped coherent quantized field of 200 photons.
Liste complète des métadonnées

https://hal-mines-paristech.archives-ouvertes.fr/hal-00941530
Contributeur : François Chaplais <>
Soumis le : mardi 4 février 2014 - 05:16:32
Dernière modification le : jeudi 24 septembre 2020 - 17:04:18

Lien texte intégral

Identifiants

Citation

Claude Le Bris, Pierre Rouchon. Low-rank numerical approximations for high-dimensional Lindblad equations. Physical Review A, American Physical Society, 2013, 87 (2), pp.022125. ⟨10.1103/PhysRevA.87.022125⟩. ⟨hal-00941530⟩

Partager

Métriques

Consultations de la notice

449