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Analytical results for the dynamics of parabolic level-crossing model
Kam,Chon Fai; Chen,Yang
Source PublicationNew Journal of Physics
AbstractWe study the dynamics of a two-level crossing model with a parabolic separation of the diabatic energies. The solutions are expressed in terms of the tri-confluent Heun equations - the generalization of the confluent hypergeometric equations. We obtain analytical approximations for the state populations in terms of Airy and Bessel functions. Applicable expressions are derived for a large part of the parameter space. We also provide simple formulas which connect local solution in different time regimes. The validity of the analytical approximations is shown by comparing them to numerical simulations.
Keywordnon-adiabatic transitions parabolic model two-level model
URLView the original
Scopus ID2-s2.0-85082240688
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Cited Times [WOS]:2   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
AffiliationDepartment of Mathematics,Faculty of Science and Technology,University of Macau,Taipa,Avenida da Universidade,Macao
First Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Kam,Chon Fai,Chen,Yang. Analytical results for the dynamics of parabolic level-crossing model[J]. New Journal of Physics,2020,22(2).
APA Kam,Chon Fai,&Chen,Yang.(2020).Analytical results for the dynamics of parabolic level-crossing model.New Journal of Physics,22(2).
MLA Kam,Chon Fai,et al."Analytical results for the dynamics of parabolic level-crossing model".New Journal of Physics 22.2(2020).
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