A nonlinear Bloch model for Coulomb interaction in quantum dots

Journal Article · Sat Feb 15 04:00:00 EST 2014 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4865426· OSTI ID:22251001

Bidegaray-Fesquet, Brigitte; Keita, Kole ^[1]

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1. Univ. Grenoble Alpes, LJK, BP 53, 38041 Grenoble Cedex (France)

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.

• OSTI ID: 22251001
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 2 Vol. 55; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CAUCHY PROBLEM
COUPLING
DENSITY MATRIX
ELECTROMAGNETIC FIELDS
HAMILTONIANS
HEISENBERG PICTURE
INTERACTIONS
MAXWELL EQUATIONS
NONLINEAR PROBLEMS
QUANTUM DOTS