Microscopic treatment of energy dissipation and decoherence via many-body Lindblad superoperators

19th International Conference on Electron Dynamics in Semiconductors, Optoelectronics and Nanostructures

Rosati, R.^1 ; Iotti, R.C.^1 ; Dolcini, F.^1,2 ; Rossi, F.^1

Department of Applied Science and Technology, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino

I-10129, Italy^1

CNR-SPIN, Monte S. Angelo - via Cinthia, Napoli

I-80126, Italy^2

关键词: Equation of motion;    Many electron;    Mean field approximation;    Mean field equation;    Positive definite;    Single particle;    Superoperators;    Two-body scattering;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/647/1/012027/pdf
DOI  :  10.1088/1742-6596/647/1/012027

来源: IOP

【 摘 要 】

Starting from a recent reformulation of the Markov limit, we apply the mean- field approximation to the resulting Lindblad-type many-electron dynamics, and derive a closed equation of motion for the electronic single-particle density matrix in the presence of one- and two-body scattering mechanisms. The proposed formulation preserves the positive- definite character of the single-particle density matrix. This result is in striking contrast with conventional Markov approaches, where the single-particle mean-field equations can lead to positivity violations and therefore to unphysical results.