Quantum transport in the Ising chain: global vs local approach
We study energy and spin transport in a one-dimensional Ising chain which is connected to two separate heat baths on both sides. By applying the Born-Markov approximation, within the global approach, we derive the Markovian master equation of the system, and also the explicit form of the Lindblad op...
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| Format: | Article |
| Language: | English |
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Isfahan University of Technology
2023-05-01
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| Series: | Iranian Journal of Physics Research |
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| Online Access: | https://ijpr.iut.ac.ir/article_3374_a5b513c8dbc419492e6c450eaceac36a.pdf |
| _version_ | 1797448378727006208 |
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| author | Azam Mani |
| author_facet | Azam Mani |
| author_sort | Azam Mani |
| collection | DOAJ |
| description | We study energy and spin transport in a one-dimensional Ising chain which is connected to two separate heat baths on both sides. By applying the Born-Markov approximation, within the global approach, we derive the Markovian master equation of the system, and also the explicit form of the Lindblad operators and the steady state. Thereafter, we investigate the behavior of energy and spin dynamics of the system in the global regime. Finally, we solve the problem with the local approach, and we show that the results are not the same for both approaches. |
| first_indexed | 2024-03-09T14:09:29Z |
| format | Article |
| id | doaj.art-123bd8b8a81546c392f2fb11e9159ee5 |
| institution | Directory Open Access Journal |
| issn | 1682-6957 2345-3664 |
| language | English |
| last_indexed | 2024-03-09T14:09:29Z |
| publishDate | 2023-05-01 |
| publisher | Isfahan University of Technology |
| record_format | Article |
| series | Iranian Journal of Physics Research |
| spelling | doaj.art-123bd8b8a81546c392f2fb11e9159ee52023-11-29T12:28:05ZengIsfahan University of TechnologyIranian Journal of Physics Research1682-69572345-36642023-05-0123113915110.47176/ijpr.23.1.115983374Quantum transport in the Ising chain: global vs local approachAzam Mani0Department of Engineering Science, College of Engineering, University of Tehran, Tehran, IranWe study energy and spin transport in a one-dimensional Ising chain which is connected to two separate heat baths on both sides. By applying the Born-Markov approximation, within the global approach, we derive the Markovian master equation of the system, and also the explicit form of the Lindblad operators and the steady state. Thereafter, we investigate the behavior of energy and spin dynamics of the system in the global regime. Finally, we solve the problem with the local approach, and we show that the results are not the same for both approaches.https://ijpr.iut.ac.ir/article_3374_a5b513c8dbc419492e6c450eaceac36a.pdfborn markov approximationmarkovian evolutionglobal approachlocal approach |
| spellingShingle | Azam Mani Quantum transport in the Ising chain: global vs local approach Iranian Journal of Physics Research born markov approximation markovian evolution global approach local approach |
| title | Quantum transport in the Ising chain: global vs local approach |
| title_full | Quantum transport in the Ising chain: global vs local approach |
| title_fullStr | Quantum transport in the Ising chain: global vs local approach |
| title_full_unstemmed | Quantum transport in the Ising chain: global vs local approach |
| title_short | Quantum transport in the Ising chain: global vs local approach |
| title_sort | quantum transport in the ising chain global vs local approach |
| topic | born markov approximation markovian evolution global approach local approach |
| url | https://ijpr.iut.ac.ir/article_3374_a5b513c8dbc419492e6c450eaceac36a.pdf |
| work_keys_str_mv | AT azammani quantumtransportintheisingchainglobalvslocalapproach |