A nonlinear Bloch model for Coulomb interaction in quantum dots - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Mathematical Physics Année : 2014

A nonlinear Bloch model for Coulomb interaction in quantum dots

Résumé

In this paper we first derive a Coulomb Hamiltonian for electron-electron interaction in quantum dots in the Heisenberg picture. Then we use this Hamiltonian to enhance a Bloch model, which happens to be nonlinear in the density matrix. The coupling with Maxwell equations when interaction with an electromagnetic field is also considered from the Cauchy problem point of view. The study is completed by numerical results and a discussion about the advisability of neglecting intra-band coherences, as is done in part of the literature.
Fichier principal
Vignette du fichier
Coulomb.pdf (728.48 Ko) Télécharger le fichier
Vignette du fichier
New_4.jpg (69.41 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Format : Figure, Image
Loading...

Dates et versions

hal-00738063 , version 1 (03-10-2012)
hal-00738063 , version 2 (31-12-2012)
hal-00738063 , version 3 (02-03-2013)
hal-00738063 , version 4 (25-11-2013)
hal-00738063 , version 5 (12-02-2014)

Identifiants

Citer

Brigitte Bidégaray-Fesquet, Kole Keita. A nonlinear Bloch model for Coulomb interaction in quantum dots. Journal of Mathematical Physics, 2014, 55 (2), pp.021501:1-17. ⟨10.1063/1.4865426⟩. ⟨hal-00738063v5⟩
523 Consultations
354 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More