On master equations, spectral resolutions, and self‐energy fields in propagator theories for quantum open systems

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Master equations for propagators in quantum open systems and their spectral resolutions are derived. The Zwanzig partitioning scheme along the superoperator algebra are used to derive equations of motion for partitioned operators in a Liouville space. The reservoir influence on the dynamical evoluti...

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Autores principales: Bochicchio, Roberto Carlos, Grinberg, Horacio
Publicado: 1995
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207608_v54_n1_p27_Bochicchio
http://hdl.handle.net/20.500.12110/paper_00207608_v54_n1_p27_Bochicchio
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_00207608_v54_n1_p27_Bochicchio
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spelling paper:paper_00207608_v54_n1_p27_Bochicchio2023-06-08T14:41:39Z On master equations, spectral resolutions, and self‐energy fields in propagator theories for quantum open systems Bochicchio, Roberto Carlos Grinberg, Horacio Master equations for propagators in quantum open systems and their spectral resolutions are derived. The Zwanzig partitioning scheme along the superoperator algebra are used to derive equations of motion for partitioned operators in a Liouville space. The reservoir influence on the dynamical evolution of operators is shown to lead explicitly to dissipative effects arising from memory terms in the evolution equations of such operators. It is also shown that spectral representations may be written in a self‐consistent analytic way by means of the self‐energy fields for transition energies of the system by taking into account the lack of the complete knowledge about the reservoir. A kinematic fluid interpretation of the resultant equations is given and an explicit form of the “collision” superoperator is obtained. Finally, a simple example to illustrate the determination of self‐energy fields for the system–reservoir interaction corrections is given. © 1995 John Wiley & Sons, Inc. Copyright © 1995 John Wiley & Sons, Inc. 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. 1995 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207608_v54_n1_p27_Bochicchio http://hdl.handle.net/20.500.12110/paper_00207608_v54_n1_p27_Bochicchio
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description Master equations for propagators in quantum open systems and their spectral resolutions are derived. The Zwanzig partitioning scheme along the superoperator algebra are used to derive equations of motion for partitioned operators in a Liouville space. The reservoir influence on the dynamical evolution of operators is shown to lead explicitly to dissipative effects arising from memory terms in the evolution equations of such operators. It is also shown that spectral representations may be written in a self‐consistent analytic way by means of the self‐energy fields for transition energies of the system by taking into account the lack of the complete knowledge about the reservoir. A kinematic fluid interpretation of the resultant equations is given and an explicit form of the “collision” superoperator is obtained. Finally, a simple example to illustrate the determination of self‐energy fields for the system–reservoir interaction corrections is given. © 1995 John Wiley & Sons, Inc. Copyright © 1995 John Wiley & Sons, Inc.
author Bochicchio, Roberto Carlos
Grinberg, Horacio
spellingShingle Bochicchio, Roberto Carlos
Grinberg, Horacio
On master equations, spectral resolutions, and self‐energy fields in propagator theories for quantum open systems
author_facet Bochicchio, Roberto Carlos
Grinberg, Horacio
author_sort Bochicchio, Roberto Carlos
title On master equations, spectral resolutions, and self‐energy fields in propagator theories for quantum open systems
title_short On master equations, spectral resolutions, and self‐energy fields in propagator theories for quantum open systems
title_full On master equations, spectral resolutions, and self‐energy fields in propagator theories for quantum open systems
title_fullStr On master equations, spectral resolutions, and self‐energy fields in propagator theories for quantum open systems
title_full_unstemmed On master equations, spectral resolutions, and self‐energy fields in propagator theories for quantum open systems
title_sort on master equations, spectral resolutions, and self‐energy fields in propagator theories for quantum open systems
publishDate 1995
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00207608_v54_n1_p27_Bochicchio
http://hdl.handle.net/20.500.12110/paper_00207608_v54_n1_p27_Bochicchio
work_keys_str_mv AT bochicchiorobertocarlos onmasterequationsspectralresolutionsandselfenergyfieldsinpropagatortheoriesforquantumopensystems
AT grinberghoracio onmasterequationsspectralresolutionsandselfenergyfieldsinpropagatortheoriesforquantumopensystems
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