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Experimental observation of the topological structure of exceptional points | | C Dembowski
; H Gräf
; H L Harney
; A Heine
; W D Heiss
; H Rehfeld
; A Richter
; | | Date: |
29 Jan 2001 | | Journal: | Phys Rev Lett, 86 (5), 787-90 | | Abstract: | We report on a microwave cavity experiment where exceptional points (EPs), which are square root singularities of the eigenvalues as function of a complex interaction parameter, are encircled in the laboratory. The real and imaginary parts of an eigenvalue are given by the frequency and width of a resonance and the eigenvectors by the field distributions. Repulsion of eigenvalues--always associated with EPs--implies frequency anticrossing (crossing) whenever width crossing (anticrossing) is present. The eigenvalues and eigenvectors are interchanged while encircling an EP, but one of the eigenvectors undergoes a sign change which can be discerned in the field patterns. | | Source: | PubMed, pmid11177940 | | Services: | Forum | Review | Favorites | |
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