Nonlinear Schroedinger-Poisson Theory for Quantum-Dot Helium

Details Nonlinear Schroedinger-Poisson Theory for Quantum-Dot Helium Nonlinear Schroedinger-Poisson Theory for Quantum-Dot Helium

2009-06-25

arxiv.org/abs/0906.4650v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

RevTeX, 8 pages with 6 included eps figures

Scientific paper

We use a nonlinear Schroedinger-Poisson equation to describe two interacting electrons with opposite spins confined in a parabolic potential, a quantum dot. We propose an effective form of the Poisson equation taking into account the dimensional mismatch of the two-dimensional electronic system and the three-dimensional electrostatics. The results agree with earlier numerical calculations performed in a large basis of two-body states and provide a simple model for continuous quantum-classical transition with increasing nonlinearity. Specific intriguing properties due to eigenstate non-orthogonality are emphasized.

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