Quantum Collision Models: A Beginner Guide
In recent years, quantum collision models, sometimes dubbed repeated interaction models, have gained much attention due to their simplicity and their capacity to convey ideas without resorting to technical complications typical of many approaches and techniques used in the field of open quantum syst...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-09-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/24/9/1258 |
| _version_ | 1827661234745376768 |
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| author | Stefano Cusumano |
| author_facet | Stefano Cusumano |
| author_sort | Stefano Cusumano |
| collection | DOAJ |
| description | In recent years, quantum collision models, sometimes dubbed repeated interaction models, have gained much attention due to their simplicity and their capacity to convey ideas without resorting to technical complications typical of many approaches and techniques used in the field of open quantum systems. In this tutorial, we show how to use these models, highlighting their strengths and some technical subtleties often overlooked in the literature. We do this by deriving the Markovian master equation and comparing the standard collisional derivation with the standard microscopic one. We then use the collision model to derive the master equation of a two-level system interacting with either a bosonic or fermionic bath to give the reader a flavour of the real use of the model. |
| first_indexed | 2024-03-10T00:05:36Z |
| format | Article |
| id | doaj.art-b9c13dd520914c4cb394b88967a8d8b6 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-10T00:05:36Z |
| publishDate | 2022-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-b9c13dd520914c4cb394b88967a8d8b62023-11-23T16:08:40ZengMDPI AGEntropy1099-43002022-09-01249125810.3390/e24091258Quantum Collision Models: A Beginner GuideStefano Cusumano0International Centre for Theory of Quantum Technologies, University of Gdansk, 80-308 Gdańsk, PolandIn recent years, quantum collision models, sometimes dubbed repeated interaction models, have gained much attention due to their simplicity and their capacity to convey ideas without resorting to technical complications typical of many approaches and techniques used in the field of open quantum systems. In this tutorial, we show how to use these models, highlighting their strengths and some technical subtleties often overlooked in the literature. We do this by deriving the Markovian master equation and comparing the standard collisional derivation with the standard microscopic one. We then use the collision model to derive the master equation of a two-level system interacting with either a bosonic or fermionic bath to give the reader a flavour of the real use of the model.https://www.mdpi.com/1099-4300/24/9/1258collision modeltutorialopen quantum systemsmaster equation |
| spellingShingle | Stefano Cusumano Quantum Collision Models: A Beginner Guide Entropy collision model tutorial open quantum systems master equation |
| title | Quantum Collision Models: A Beginner Guide |
| title_full | Quantum Collision Models: A Beginner Guide |
| title_fullStr | Quantum Collision Models: A Beginner Guide |
| title_full_unstemmed | Quantum Collision Models: A Beginner Guide |
| title_short | Quantum Collision Models: A Beginner Guide |
| title_sort | quantum collision models a beginner guide |
| topic | collision model tutorial open quantum systems master equation |
| url | https://www.mdpi.com/1099-4300/24/9/1258 |
| work_keys_str_mv | AT stefanocusumano quantumcollisionmodelsabeginnerguide |