A nonlinear Bloch model for Coulomb interaction in quantum dots
Journal Article
·
· Journal of Mathematical Physics
- 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, Vol. 55, Issue 2; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
Similar Records
A nonlinear Bloch model for Coulomb interaction in quantum dots
Self-consistent Maxwell-Bloch theory of quantum-dot-population switching in photonic crystals
Maxwell-Bloch formulation for semiconductors: Effects of coherent Coulomb exchange
Journal Article
·
Sat Feb 15 00:00:00 EST 2014
· Journal of Mathematical Physics
·
OSTI ID:22251001
Self-consistent Maxwell-Bloch theory of quantum-dot-population switching in photonic crystals
Journal Article
·
Sun May 15 00:00:00 EDT 2011
· Physical Review. A
·
OSTI ID:22251001
Maxwell-Bloch formulation for semiconductors: Effects of coherent Coulomb exchange
Journal Article
·
Mon May 01 00:00:00 EDT 1995
· Physical Review A
·
OSTI ID:22251001