Derivation of nonlinear single-particle equations via many-body Lindblad superoperators: A densitymatrix approach (Articolo in rivista)

Type

• Articolo in rivista (Classe)
• Prodotto della ricerca (Classe)

Label

• Derivation of nonlinear single-particle equations via many-body Lindblad superoperators: A densitymatrix approach (Articolo in rivista) (literal)

Anno

• 2014-01-01T00:00:00+01:00 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi

• 10.1103/PhysRevB.90.125140 (literal)

Alternative label

• Roberto Rosati,1 Rita Claudia Iotti,1 Fabrizio Dolcini,1,2 and Fausto Rossi1, (2014)
  Derivation of nonlinear single-particle equations via many-body Lindblad superoperators: A densitymatrix approach
  in Physical review. B, Condensed matter and materials physics
  (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori

• Roberto Rosati,1 Rita Claudia Iotti,1 Fabrizio Dolcini,1,2 and Fausto Rossi1, (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume

• 90 (literal)

Rivista

• Physical review. B, Condensed matter and materials physics (Rivista)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali

• 9 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo

• 12 (literal)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni

• 1 Department of Applied Science and Technology, Politecnico di Torino, C.so Duca degli Abruzzi 24, 10129 Torino, Italy 2 CNR-SPIN, Monte S. Angelo-via Cinthia, I-80126 Napoli, Italy (literal)

Titolo

• Derivation of nonlinear single-particle equations via many-body Lindblad superoperators: A densitymatrix approach (literal)

Abstract

• A recently proposed Markov approach provides Lindblad-type scattering superoperators, which ensure the physical (positive-definite) character of the many-body density matrix. We apply the mean-field approximation to such a many-body equation, in the presence of one- and two-body scattering mechanisms, and we derive a closed equation of motion for the electronic single-particle density matrix, which turns out to be nonlinear as well as non-Lindblad. We prove that, in spite of its nonlinear and non-Lindblad structure, the mean-field approximation does preserve the positive-definite character of the single-particle density matrix, an essential prerequisite of any reliable kinetic treatment of semiconductor quantum devices. This result is in striking contrast with conventional (non-Lindblad) Markov approaches, where the single-particle mean-field equations can lead to positivity violations and thus to unphysical results. Furthermore, the proposed single-particle formulation is extended to the case of quantum systems with spatial open boundaries, providing a formal derivation of a recently proposed density-matrix treatment based on a Lindblad-like system-reservoir scattering superoperator. (literal)

Prodotto di

• Effetti Quantistici e di non equilibrio in giunzioni e nanostrutture ibride (MD.P04.024.001) (Modulo)

Incoming links:

Prodotto

• Effetti Quantistici e di non equilibrio in giunzioni e nanostrutture ibride (MD.P04.024.001) (Modulo)

Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#rivistaDi

• Physical review. B, Condensed matter and materials physics (Rivista)

Autore CNR di

• http://www.cnr.it/ontology/cnr/individuo/unitaDiPersonaleEsterno/ID23343