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.
Microscopic treatment of energy dissipation and decoherence via many-body Lindblad superoperators / Rosati, Roberto; Iotti, Rita Claudia; Dolcini, Fabrizio; Rossi, Fausto. - In: JOURNAL OF PHYSICS. CONFERENCE SERIES. - ISSN 1742-6588. - STAMPA. - 647:(2015), p. 012027. [10.1088/1742-6596/647/1/012027]
Microscopic treatment of energy dissipation and decoherence via many-body Lindblad superoperators
ROSATI, ROBERTO;IOTTI, Rita Claudia;DOLCINI, FABRIZIO;ROSSI, FAUSTO
2015
Abstract
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.File | Dimensione | Formato | |
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https://hdl.handle.net/11583/2620520
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