Self-energy fields solutions to the generalized reduced Liouville equation in the perturbative approach
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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todo:paper_00207608_v79_n5_p280_Bochicchio2023-10-03T14:19:29Z Self-energy fields solutions to the generalized reduced Liouville equation in the perturbative approach Bochicchio, R.C. Grinberg, H. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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 |
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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, R.C. Grinberg, H. 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. |
| format |
JOUR |
| author |
Bochicchio, R.C. Grinberg, H. |
| author_facet |
Bochicchio, R.C. Grinberg, H. |
| author_sort |
Bochicchio, R.C. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_00207608_v79_n5_p280_Bochicchio |
| work_keys_str_mv |
AT bochicchiorc selfenergyfieldssolutionstothegeneralizedreducedliouvilleequationintheperturbativeapproach AT grinbergh selfenergyfieldssolutionstothegeneralizedreducedliouvilleequationintheperturbativeapproach |
| _version_ |
1807319222549741568 |