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Non-Adiabatic Transitions in Parabolic and Super-Parabolic PT-Symmetric Non-Hermitian Systems in 1D Optical Waveguides
Kam,Chon Fai; Chen,Yang
2021-02-01
Source PublicationAnnalen der Physik
ISSN0003-3804
Volume533Issue:2
AbstractExceptional points, which are spectral degeneracy points in the complex parameter space, are fundamental to non-Hermitian quantum systems. The dynamics of non-Hermitian systems in the presence of exceptional points differ significantly from those of Hermitian ones. Here, non-adiabatic transitions in non-Hermitian (Formula presented.) -symmetric systems are investigated, in which the exceptional points are driven through at finite speeds which are quadratic or cubic functions of time. Different transmission dynamics separated by exceptional points are identified, and analytical approximate formulas for the non-adiabatic transmission probabilities are derived. Possible experimental realizations with a (Formula presented.) -symmetric non-Hermitian 1D tight-binding optical waveguide lattice are discussed through non-Hermitian Bloch oscillations between different bands.
Keywordanalytical approximations exceptional points non-adiabatic transitions non-Hermitian PT-symmetric systems optical waveguide lattices
DOI10.1002/andp.202000349
URLView the original
Language英語English
Scopus ID2-s2.0-85099358981
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Cited Times [WOS]:1   [WOS Record]     [Related Records in WOS]
Document TypeJournal article
CollectionUniversity of Macau
Corresponding AuthorChen,Yang
AffiliationDepartment of Mathematics,Faculty of Science and Technology,University of Macau,Taipa,Avenida da Universidade,Macao
First Author AffilicationFaculty of Science and Technology
Corresponding Author AffilicationFaculty of Science and Technology
Recommended Citation
GB/T 7714
Kam,Chon Fai,Chen,Yang. Non-Adiabatic Transitions in Parabolic and Super-Parabolic PT-Symmetric Non-Hermitian Systems in 1D Optical Waveguides[J]. Annalen der Physik,2021,533(2).
APA Kam,Chon Fai,&Chen,Yang.(2021).Non-Adiabatic Transitions in Parabolic and Super-Parabolic PT-Symmetric Non-Hermitian Systems in 1D Optical Waveguides.Annalen der Physik,533(2).
MLA Kam,Chon Fai,et al."Non-Adiabatic Transitions in Parabolic and Super-Parabolic PT-Symmetric Non-Hermitian Systems in 1D Optical Waveguides".Annalen der Physik 533.2(2021).
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