Time inhomogeneous quantum dynamical maps
Abstract We discuss a wide class of time inhomogeneous quantum evolution which is represented by two-parameter family of completely positive trace-preserving maps. These dynamical maps are constructed as infinite series of jump processes. It is shown that such dynamical maps satisfy time inhomogeneo...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2022-12-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-022-25694-1 |
| _version_ | 1828277595663237120 |
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| author | Dariusz Chruściński |
| author_facet | Dariusz Chruściński |
| author_sort | Dariusz Chruściński |
| collection | DOAJ |
| description | Abstract We discuss a wide class of time inhomogeneous quantum evolution which is represented by two-parameter family of completely positive trace-preserving maps. These dynamical maps are constructed as infinite series of jump processes. It is shown that such dynamical maps satisfy time inhomogeneous memory kernel master equation which provides a generalization of the master equation involving the standard convolution. Time-local (time convolution-less) approach is discussed as well. Finally, the comparative analysis of traditional time homogeneous versus time inhomogeneous scenario is provided. |
| first_indexed | 2024-04-13T07:17:04Z |
| format | Article |
| id | doaj.art-af9f4f9900df413199a0304259476a74 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-04-13T07:17:04Z |
| publishDate | 2022-12-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-af9f4f9900df413199a0304259476a742022-12-22T02:56:44ZengNature PortfolioScientific Reports2045-23222022-12-0112111010.1038/s41598-022-25694-1Time inhomogeneous quantum dynamical mapsDariusz Chruściński0Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus UniversityAbstract We discuss a wide class of time inhomogeneous quantum evolution which is represented by two-parameter family of completely positive trace-preserving maps. These dynamical maps are constructed as infinite series of jump processes. It is shown that such dynamical maps satisfy time inhomogeneous memory kernel master equation which provides a generalization of the master equation involving the standard convolution. Time-local (time convolution-less) approach is discussed as well. Finally, the comparative analysis of traditional time homogeneous versus time inhomogeneous scenario is provided.https://doi.org/10.1038/s41598-022-25694-1 |
| spellingShingle | Dariusz Chruściński Time inhomogeneous quantum dynamical maps Scientific Reports |
| title | Time inhomogeneous quantum dynamical maps |
| title_full | Time inhomogeneous quantum dynamical maps |
| title_fullStr | Time inhomogeneous quantum dynamical maps |
| title_full_unstemmed | Time inhomogeneous quantum dynamical maps |
| title_short | Time inhomogeneous quantum dynamical maps |
| title_sort | time inhomogeneous quantum dynamical maps |
| url | https://doi.org/10.1038/s41598-022-25694-1 |
| work_keys_str_mv | AT dariuszchruscinski timeinhomogeneousquantumdynamicalmaps |