Theory of emittance exchange through coupling resonance crossing
In circular accelerators, transverse beam emittances can be exchanged by means of a coupling resonance crossing. It was first demonstrated experimentally at CERN accelerators, before a theoretical study revealed its mechanism. The existing theory of emittance exchange seems, however, to be deficient...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2020-04-01
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| Series: | Physical Review Accelerators and Beams |
| Online Access: | http://doi.org/10.1103/PhysRevAccelBeams.23.044003 |
| _version_ | 1819178238960730112 |
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| author | Masamitsu Aiba Jonas Kallestrup |
| author_facet | Masamitsu Aiba Jonas Kallestrup |
| author_sort | Masamitsu Aiba |
| collection | DOAJ |
| description | In circular accelerators, transverse beam emittances can be exchanged by means of a coupling resonance crossing. It was first demonstrated experimentally at CERN accelerators, before a theoretical study revealed its mechanism. The existing theory of emittance exchange seems, however, to be deficient. In this study, we establish a theory of emittance exchange using the matrix formalism. Furthermore, we have found that the mechanism of emittance exchange is analogous to the transition dynamics of two-state quantum systems, thereby allowing the Landau-Zener formula to be applied for the prediction of transverse emittance values after nonadiabatic crossing. |
| first_indexed | 2024-12-22T21:39:23Z |
| format | Article |
| id | doaj.art-358a5e44cf8a4fceb6f897bb0c2e2383 |
| institution | Directory Open Access Journal |
| issn | 2469-9888 |
| language | English |
| last_indexed | 2024-12-22T21:39:23Z |
| publishDate | 2020-04-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Accelerators and Beams |
| spelling | doaj.art-358a5e44cf8a4fceb6f897bb0c2e23832022-12-21T18:11:38ZengAmerican Physical SocietyPhysical Review Accelerators and Beams2469-98882020-04-0123404400310.1103/PhysRevAccelBeams.23.044003Theory of emittance exchange through coupling resonance crossingMasamitsu AibaJonas KallestrupIn circular accelerators, transverse beam emittances can be exchanged by means of a coupling resonance crossing. It was first demonstrated experimentally at CERN accelerators, before a theoretical study revealed its mechanism. The existing theory of emittance exchange seems, however, to be deficient. In this study, we establish a theory of emittance exchange using the matrix formalism. Furthermore, we have found that the mechanism of emittance exchange is analogous to the transition dynamics of two-state quantum systems, thereby allowing the Landau-Zener formula to be applied for the prediction of transverse emittance values after nonadiabatic crossing.http://doi.org/10.1103/PhysRevAccelBeams.23.044003 |
| spellingShingle | Masamitsu Aiba Jonas Kallestrup Theory of emittance exchange through coupling resonance crossing Physical Review Accelerators and Beams |
| title | Theory of emittance exchange through coupling resonance crossing |
| title_full | Theory of emittance exchange through coupling resonance crossing |
| title_fullStr | Theory of emittance exchange through coupling resonance crossing |
| title_full_unstemmed | Theory of emittance exchange through coupling resonance crossing |
| title_short | Theory of emittance exchange through coupling resonance crossing |
| title_sort | theory of emittance exchange through coupling resonance crossing |
| url | http://doi.org/10.1103/PhysRevAccelBeams.23.044003 |
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