Self-energy fields solutions to the generalized reduced Liouville equation in the perturbative approach

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A direct approach for the generalized reduced Liouville equation of motion decoupling problem associated with open quantum systems within the superoperator formalism is presented. The procedure is based on inversion of the perturbation series for the energy representation of the density operator so...

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Detalles Bibliográficos
Autores principales:	Bochicchio, Roberto Carlos, Grinberg, Horacio
Publicado:	2000
Materias:	Matrix algebra Perturbation techniques Problem solving Liouville equation Open quantum systems Quantum theory
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207608_v79_n5_p280_Bochicchio http://hdl.handle.net/20.500.12110/paper_00207608_v79_n5_p280_Bochicchio
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_00207608_v79_n5_p280_Bochicchio
record_format	dspace
spelling	paper:paper_00207608_v79_n5_p280_Bochicchio2023-06-08T14:41:43Z Self-energy fields solutions to the generalized reduced Liouville equation in the perturbative approach Bochicchio, Roberto Carlos Grinberg, Horacio Matrix algebra Perturbation techniques Problem solving Liouville equation Open quantum systems Quantum theory A direct approach for the generalized reduced Liouville equation of motion decoupling problem associated with open quantum systems within the superoperator formalism is presented. The procedure is based on inversion of the perturbation series for the energy representation of the density operator so as to obtain one for the proper self-energy fields that emerge as a consequence of the analytic character of the associated spectral representation. Thus, the perturbation series that arises from the iteration of the energy-dependent matrix elements hierarchy involved in the statistical operator allows, upon further expansion of the inverse of such series, to get formally exact expressions for the corrections to all orders of the self-energy fields. The lower order corrections of these fields are discussed in terms of resonant and nonresonant contributions. The present approach provides matrix equations that show the close relation between the environment effects represented by the self-energy fields and the relaxation kernel that drives the system-reservoir interaction. Fil:Bochicchio, R.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Grinberg, H. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2000 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207608_v79_n5_p280_Bochicchio http://hdl.handle.net/20.500.12110/paper_00207608_v79_n5_p280_Bochicchio
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Matrix algebra Perturbation techniques Problem solving Liouville equation Open quantum systems Quantum theory
spellingShingle	Matrix algebra Perturbation techniques Problem solving Liouville equation Open quantum systems Quantum theory Bochicchio, Roberto Carlos Grinberg, Horacio Self-energy fields solutions to the generalized reduced Liouville equation in the perturbative approach
topic_facet	Matrix algebra Perturbation techniques Problem solving Liouville equation Open quantum systems Quantum theory
description	A direct approach for the generalized reduced Liouville equation of motion decoupling problem associated with open quantum systems within the superoperator formalism is presented. The procedure is based on inversion of the perturbation series for the energy representation of the density operator so as to obtain one for the proper self-energy fields that emerge as a consequence of the analytic character of the associated spectral representation. Thus, the perturbation series that arises from the iteration of the energy-dependent matrix elements hierarchy involved in the statistical operator allows, upon further expansion of the inverse of such series, to get formally exact expressions for the corrections to all orders of the self-energy fields. The lower order corrections of these fields are discussed in terms of resonant and nonresonant contributions. The present approach provides matrix equations that show the close relation between the environment effects represented by the self-energy fields and the relaxation kernel that drives the system-reservoir interaction.
author	Bochicchio, Roberto Carlos Grinberg, Horacio
author_facet	Bochicchio, Roberto Carlos Grinberg, Horacio
author_sort	Bochicchio, Roberto Carlos
title	Self-energy fields solutions to the generalized reduced Liouville equation in the perturbative approach
title_short	Self-energy fields solutions to the generalized reduced Liouville equation in the perturbative approach
title_full	Self-energy fields solutions to the generalized reduced Liouville equation in the perturbative approach
title_fullStr	Self-energy fields solutions to the generalized reduced Liouville equation in the perturbative approach
title_full_unstemmed	Self-energy fields solutions to the generalized reduced Liouville equation in the perturbative approach
title_sort	self-energy fields solutions to the generalized reduced liouville equation in the perturbative approach
publishDate	2000
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207608_v79_n5_p280_Bochicchio http://hdl.handle.net/20.500.12110/paper_00207608_v79_n5_p280_Bochicchio
work_keys_str_mv	AT bochicchiorobertocarlos selfenergyfieldssolutionstothegeneralizedreducedliouvilleequationintheperturbativeapproach AT grinberghoracio selfenergyfieldssolutionstothegeneralizedreducedliouvilleequationintheperturbativeapproach
_version_	1768546239224217600

Self-energy fields solutions to the generalized reduced Liouville equation in the perturbative approach

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