A nonlinear Bloch model for Coulomb interaction in quantum dots

Feb 18, 2014·
Brigitte Bidegaray-Fesquet
Brigitte Bidegaray-Fesquet
,
Kole Keita
· 0 min read
Impact of vanishing intra-band coherences on the Coulomb-free model
Abstract
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.
Type
Publication
Journal of Mathematical Physics, 55(2), 021501:1–17 (2014)