Non-Markovian relaxation of a quantum system
A non-Markovian treatment of the relaxation of a spin j is developed. The corresponding reduced collision operator admits a discrete spectral representation whose eginevalues are extracted in a high temperature limit. Then, assuming a phonon reservoir with a Debye-like density of phonon states, the...
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todo:paper_03784371_v165_n2_p249_Cataldo2023-10-03T15:32:25Z Non-Markovian relaxation of a quantum system Cataldo, H.M. A non-Markovian treatment of the relaxation of a spin j is developed. The corresponding reduced collision operator admits a discrete spectral representation whose eginevalues are extracted in a high temperature limit. Then, assuming a phonon reservoir with a Debye-like density of phonon states, the time evolution of the collision operator is explicitly given, showing that the corresponding time decay arises from the branch points of its Laplace transform. The extraction of the analytic continuation of the transform allows the memory effects on the relaxation frequencies (resolvent poles) to be analyzed and the validity of the rotating-wave approximation to be tested. © 1990. Fil:Cataldo, H.M. 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_03784371_v165_n2_p249_Cataldo |
| 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) |
| description |
A non-Markovian treatment of the relaxation of a spin j is developed. The corresponding reduced collision operator admits a discrete spectral representation whose eginevalues are extracted in a high temperature limit. Then, assuming a phonon reservoir with a Debye-like density of phonon states, the time evolution of the collision operator is explicitly given, showing that the corresponding time decay arises from the branch points of its Laplace transform. The extraction of the analytic continuation of the transform allows the memory effects on the relaxation frequencies (resolvent poles) to be analyzed and the validity of the rotating-wave approximation to be tested. © 1990. |
| format |
JOUR |
| author |
Cataldo, H.M. |
| spellingShingle |
Cataldo, H.M. Non-Markovian relaxation of a quantum system |
| author_facet |
Cataldo, H.M. |
| author_sort |
Cataldo, H.M. |
| title |
Non-Markovian relaxation of a quantum system |
| title_short |
Non-Markovian relaxation of a quantum system |
| title_full |
Non-Markovian relaxation of a quantum system |
| title_fullStr |
Non-Markovian relaxation of a quantum system |
| title_full_unstemmed |
Non-Markovian relaxation of a quantum system |
| title_sort |
non-markovian relaxation of a quantum system |
| url |
http://hdl.handle.net/20.500.12110/paper_03784371_v165_n2_p249_Cataldo |
| work_keys_str_mv |
AT cataldohm nonmarkovianrelaxationofaquantumsystem |
| _version_ |
1807315276401737728 |