Perturbative approach to Markovian open quantum systems
The exact treatment of Markovian open quantum systems, when based on numerical diagonalization of the Liouville super-operator or averaging over quantum trajectories, is severely limited by Hilbert space size. Perturbation theory, standard in the investigation of closed quantum systems, has remained...
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Nature Publishing Group
2014
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| Online Access: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4013940/ |
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pubmed-40139402014-05-13 Perturbative approach to Markovian open quantum systems Li, Andy C. Y. Petruccione, F. Koch, Jens Article The exact treatment of Markovian open quantum systems, when based on numerical diagonalization of the Liouville super-operator or averaging over quantum trajectories, is severely limited by Hilbert space size. Perturbation theory, standard in the investigation of closed quantum systems, has remained much less developed for open quantum systems where a direct application to the Lindblad master equation is desirable. We present such a perturbative treatment which will be useful for an analytical understanding of open quantum systems and for numerical calculation of system observables which would otherwise be impractical. Nature Publishing Group 2014-05-08 /pmc/articles/PMC4013940/ /pubmed/24811607 http://dx.doi.org/10.1038/srep04887 Text en Copyright © 2014, Macmillan Publishers Limited. All rights reserved http://creativecommons.org/licenses/by-nc-nd/3.0/ This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License. The images in this article are included in the article's Creative Commons license, unless indicated otherwise in the image credit; if the image is not included under the Creative Commons license, users will need to obtain permission from the license holder in order to reproduce the image. To view a copy of this license, visit http://creativecommons.org/licenses/by-nc-nd/3.0/ |
| repository_type |
Open Access Journal |
| institution_category |
Foreign Institution |
| institution |
US National Center for Biotechnology Information |
| building |
NCBI PubMed |
| collection |
Online Access |
| language |
English |
| format |
Online |
| author |
Li, Andy C. Y. Petruccione, F. Koch, Jens |
| spellingShingle |
Li, Andy C. Y. Petruccione, F. Koch, Jens Perturbative approach to Markovian open quantum systems |
| author_facet |
Li, Andy C. Y. Petruccione, F. Koch, Jens |
| author_sort |
Li, Andy C. Y. |
| title |
Perturbative approach to Markovian open quantum systems |
| title_short |
Perturbative approach to Markovian open quantum systems |
| title_full |
Perturbative approach to Markovian open quantum systems |
| title_fullStr |
Perturbative approach to Markovian open quantum systems |
| title_full_unstemmed |
Perturbative approach to Markovian open quantum systems |
| title_sort |
perturbative approach to markovian open quantum systems |
| description |
The exact treatment of Markovian open quantum systems, when based on numerical diagonalization of the Liouville super-operator or averaging over quantum trajectories, is severely limited by Hilbert space size. Perturbation theory, standard in the investigation of closed quantum systems, has remained much less developed for open quantum systems where a direct application to the Lindblad master equation is desirable. We present such a perturbative treatment which will be useful for an analytical understanding of open quantum systems and for numerical calculation of system observables which would otherwise be impractical. |
| publisher |
Nature Publishing Group |
| publishDate |
2014 |
| url |
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4013940/ |
| _version_ |
1612086560188006400 |