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Title: A nonlinear Bloch model for Coulomb interaction in quantum dots

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 in case of 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.
Authors:
;  [1] ;  [2]
  1. Univ. Grenoble Alpes, LJK, BP 53, 38041 Grenoble Cedex (France)
  2. (France)
Publication Date:
OSTI Identifier:
22251001
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 2; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CAUCHY PROBLEM; COUPLING; DENSITY MATRIX; ELECTROMAGNETIC FIELDS; HAMILTONIANS; HEISENBERG PICTURE; INTERACTIONS; MAXWELL EQUATIONS; NONLINEAR PROBLEMS; QUANTUM DOTS