2012/10/03 by Brigitte Bidégaray-Fesquet, Bidégaray-Fesquet, Brigitte, Kolé Keita +1
Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Nonlinear Photonic Systems #Quantum and electron transport phenomena #Semiconductor Quantum Structures and Devices
paper · doi:10.48550/arxiv.1210.1077
openalex publication_date 2012/10/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.