Microscopic modeling of quantum devices at high carrier densities via Lindblad-type scattering superoperators

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...

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Bibliographic Details
Published in2014 International Workshop on Computational Electronics (IWCE) pp. 1 - 3
Main Authors Rosati, Roberto, Iotti, Rita Claudia, Rossi, Fausto
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.06.2014
Subjects
Approximation methods
Charge carrier density
Equations
Markov processes
Mathematical model
Quantum mechanics
Scattering
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Summary: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.
DOI:10.1109/IWCE.2014.6865848