We derive a local equation of motion for the electronic single-particle density matrix in the presence of one- as well as two-body scattering processes. This is done by applying the mean-field approximation to the many-electron dynamics obtained via a recently proposed Markov limit, able to furnish many-body Lindblad-type scattering superoperators. The resulting time evolution at finite/high carrier densities turns out to be non-linear (and therefore non-Lindblad), and to recover a Lindblad form in the low-density limit.

Microscopic modeling of quantum devices at high carrier densities via Lindblad-type scattering superoperators2014 International Workshop on Computational Electronics (IWCE) / Rosati, Roberto; Iotti, Rita Claudia; Rossi, Fausto. - ELETTRONICO. - (2014), pp. 1-3. (Intervento presentato al convegno 2014 International Workshop on Computational Electronics (IWCE) tenutosi a Paris (F) nel 3-6 Giugno 2014) [10.1109/IWCE.2014.6865848].

Microscopic modeling of quantum devices at high carrier densities via Lindblad-type scattering superoperators2014 International Workshop on Computational Electronics (IWCE)

ROSATI, ROBERTO;IOTTI, Rita Claudia;ROSSI, FAUSTO
2014

Abstract

We derive a local equation of motion for the electronic single-particle density matrix in the presence of one- as well as two-body scattering processes. This is done by applying the mean-field approximation to the many-electron dynamics obtained via a recently proposed Markov limit, able to furnish many-body Lindblad-type scattering superoperators. The resulting time evolution at finite/high carrier densities turns out to be non-linear (and therefore non-Lindblad), and to recover a Lindblad form in the low-density limit.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2565969
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