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

Mostrar todas las versiones(2)

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...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Bochicchio, R.C., Grinberg, H.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00207608_v54_n1_p27_Bochicchio
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00207608_v54_n1_p27_Bochicchio
record_format dspace
spelling todo:paper_00207608_v54_n1_p27_Bochicchio2023-10-03T14:19:05Z On master equations, spectral resolutions, and self‐energy fields in propagator theories for quantum open systems Bochicchio, R.C. Grinberg, H. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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.
format JOUR
author Bochicchio, R.C.
Grinberg, H.
spellingShingle Bochicchio, R.C.
Grinberg, H.
On master equations, spectral resolutions, and self‐energy fields in propagator theories for quantum open systems
author_facet Bochicchio, R.C.
Grinberg, H.
author_sort Bochicchio, R.C.
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
url http://hdl.handle.net/20.500.12110/paper_00207608_v54_n1_p27_Bochicchio
work_keys_str_mv AT bochicchiorc onmasterequationsspectralresolutionsandselfenergyfieldsinpropagatortheoriesforquantumopensystems
AT grinbergh onmasterequationsspectralresolutionsandselfenergyfieldsinpropagatortheoriesforquantumopensystems
_version_ 1807314523863908352

Ejemplares similares