A Perturbation Algorithm for the Pointers of Franke-Gorini-Kossakowski-Lindblad-Sudarshan Equation
This paper is devoted to the study of behavior of open quantum systems consistently based on the Franke-Gorini-Kossakowski-Lindblad-Sudarshan (FGKLS) equation which covers evolution in situations when decoherence can be distinguished. We focus on the quantum measurement operation which is determined...
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Online Access: | https://dx.doi.org/10.48550/arxiv.2002.00410 https://arxiv.org/abs/2002.00410 |
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ftdatacite:10.48550/arxiv.2002.00410 2023-05-15T18:32:41+02:00 A Perturbation Algorithm for the Pointers of Franke-Gorini-Kossakowski-Lindblad-Sudarshan Equation Andrianov, A. A. Ioffe, M. V. Izotova, E. A. Novikov, O. O. 2020 https://dx.doi.org/10.48550/arxiv.2002.00410 https://arxiv.org/abs/2002.00410 unknown arXiv arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Quantum Physics quant-ph High Energy Physics - Theory hep-th Mathematical Physics math-ph FOS Physical sciences article-journal Article ScholarlyArticle Text 2020 ftdatacite https://doi.org/10.48550/arxiv.2002.00410 2022-03-10T16:04:11Z This paper is devoted to the study of behavior of open quantum systems consistently based on the Franke-Gorini-Kossakowski-Lindblad-Sudarshan (FGKLS) equation which covers evolution in situations when decoherence can be distinguished. We focus on the quantum measurement operation which is determined by final stationary states of an open system - so called pointers. We find pointers by applying the FGKLS equation to asymptotically constant density matrix. In seeking pointers, we have been able to propose a perturbative scheme of calculation, if we take the interaction components with an environment to be weak. Thus, the Lindblad operators can be used in some way as expansion parameters for perturbation theory. The scheme we propose is different for the cases of non-degenerate and degenerate Hamiltonian. We illustrate our scheme by particular examples of quantum harmonic oscillator with spin in external magnetic field. The efficiency of the perturbation algorithm is demonstrated by its comparison with the exact solution. : 23 p.p Article in Journal/Newspaper The Pointers DataCite Metadata Store (German National Library of Science and Technology) |
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Open Polar |
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DataCite Metadata Store (German National Library of Science and Technology) |
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language |
unknown |
topic |
Quantum Physics quant-ph High Energy Physics - Theory hep-th Mathematical Physics math-ph FOS Physical sciences |
spellingShingle |
Quantum Physics quant-ph High Energy Physics - Theory hep-th Mathematical Physics math-ph FOS Physical sciences Andrianov, A. A. Ioffe, M. V. Izotova, E. A. Novikov, O. O. A Perturbation Algorithm for the Pointers of Franke-Gorini-Kossakowski-Lindblad-Sudarshan Equation |
topic_facet |
Quantum Physics quant-ph High Energy Physics - Theory hep-th Mathematical Physics math-ph FOS Physical sciences |
description |
This paper is devoted to the study of behavior of open quantum systems consistently based on the Franke-Gorini-Kossakowski-Lindblad-Sudarshan (FGKLS) equation which covers evolution in situations when decoherence can be distinguished. We focus on the quantum measurement operation which is determined by final stationary states of an open system - so called pointers. We find pointers by applying the FGKLS equation to asymptotically constant density matrix. In seeking pointers, we have been able to propose a perturbative scheme of calculation, if we take the interaction components with an environment to be weak. Thus, the Lindblad operators can be used in some way as expansion parameters for perturbation theory. The scheme we propose is different for the cases of non-degenerate and degenerate Hamiltonian. We illustrate our scheme by particular examples of quantum harmonic oscillator with spin in external magnetic field. The efficiency of the perturbation algorithm is demonstrated by its comparison with the exact solution. : 23 p.p |
format |
Article in Journal/Newspaper |
author |
Andrianov, A. A. Ioffe, M. V. Izotova, E. A. Novikov, O. O. |
author_facet |
Andrianov, A. A. Ioffe, M. V. Izotova, E. A. Novikov, O. O. |
author_sort |
Andrianov, A. A. |
title |
A Perturbation Algorithm for the Pointers of Franke-Gorini-Kossakowski-Lindblad-Sudarshan Equation |
title_short |
A Perturbation Algorithm for the Pointers of Franke-Gorini-Kossakowski-Lindblad-Sudarshan Equation |
title_full |
A Perturbation Algorithm for the Pointers of Franke-Gorini-Kossakowski-Lindblad-Sudarshan Equation |
title_fullStr |
A Perturbation Algorithm for the Pointers of Franke-Gorini-Kossakowski-Lindblad-Sudarshan Equation |
title_full_unstemmed |
A Perturbation Algorithm for the Pointers of Franke-Gorini-Kossakowski-Lindblad-Sudarshan Equation |
title_sort |
perturbation algorithm for the pointers of franke-gorini-kossakowski-lindblad-sudarshan equation |
publisher |
arXiv |
publishDate |
2020 |
url |
https://dx.doi.org/10.48550/arxiv.2002.00410 https://arxiv.org/abs/2002.00410 |
genre |
The Pointers |
genre_facet |
The Pointers |
op_rights |
arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
op_doi |
https://doi.org/10.48550/arxiv.2002.00410 |
_version_ |
1766216878655537152 |