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On a Bloch-type model with electron-phonon interactions: modeling and numerical simulations

Résumé

In this work, we discuss how to take into account electron-phonon interactions in a Bloch type model for the description of quantum dots. The model consists in coupling an equation on the density matrix with a set of equations on quantities called phonon-assisted densities, one for each phonon mode. After a description of the model, we discuss how to discretize efficiently this non-linear coupling in view of numerical simulations.
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Dates et versions

hal-02043321 , version 1 (20-02-2019)

Identifiants

Citer

Brigitte Bidégaray-Fesquet, Clément Jourdana, Kole Keita. On a Bloch-type model with electron-phonon interactions: modeling and numerical simulations. 12th International Conference on Scientific Computing in Electrical Engineering (SCEE 2018), Sep 2018, Taormina, Italy. pp.105-113, ⟨10.1007/978-3-030-44101-2_10⟩. ⟨hal-02043321⟩
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