Theory of emittance exchange through coupling resonance crossing

Autor: Masamitsu Aiba, Jonas Kallestrup
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Physical Review Accelerators and Beams, Vol 23, Iss 4, p 044003 (2020)
Druh dokumentu: article
ISSN: 2469-9888
DOI: 10.1103/PhysRevAccelBeams.23.044003
Popis: 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.
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