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Analysis of resonant population transfer in time-dependent elliptical quantum billiards

Liss, J. ; Liebchen, B. ; Schmelcher, P. (2013)
Analysis of resonant population transfer in time-dependent elliptical quantum billiards.
In: Physical Review E, 87 (1)
doi: 10.1103/PhysRevE.87.012912
Artikel, Bibliographie

Kurzbeschreibung (Abstract)

A Fermi golden rule for population transfer between instantaneous eigenstates of elliptical quantum billiards with oscillating boundaries is derived. Thereby the occurrence of both the recently observed resonant population transfer between instantaneous eigenstates and the empirical criterion stating that these transitions occur when the driving frequency matches the mean difference of the latter is explained. As a second main result a criterion judging which resonances are resolvable in a corresponding experiment of certain duration is provided. Our analysis is complemented by numerical simulations for three different driving laws. The corresponding resonance spectra are in agreement with the predictions of both criteria.

Typ des Eintrags: Artikel
Erschienen: 2013
Autor(en): Liss, J. ; Liebchen, B. ; Schmelcher, P.
Art des Eintrags: Bibliographie
Titel: Analysis of resonant population transfer in time-dependent elliptical quantum billiards
Sprache: Englisch
Publikationsjahr: 22 Januar 2013
Verlag: American Physical Society
Titel der Zeitschrift, Zeitung oder Schriftenreihe: Physical Review E
Jahrgang/Volume einer Zeitschrift: 87
(Heft-)Nummer: 1
DOI: 10.1103/PhysRevE.87.012912
Kurzbeschreibung (Abstract):

A Fermi golden rule for population transfer between instantaneous eigenstates of elliptical quantum billiards with oscillating boundaries is derived. Thereby the occurrence of both the recently observed resonant population transfer between instantaneous eigenstates and the empirical criterion stating that these transitions occur when the driving frequency matches the mean difference of the latter is explained. As a second main result a criterion judging which resonances are resolvable in a corresponding experiment of certain duration is provided. Our analysis is complemented by numerical simulations for three different driving laws. The corresponding resonance spectra are in agreement with the predictions of both criteria.

Freie Schlagworte: publiziert
Fachbereich(e)/-gebiet(e): 05 Fachbereich Physik
05 Fachbereich Physik > Institut für Festkörperphysik (2021 umbenannt in Institut für Physik Kondensierter Materie (IPKM))
Hinterlegungsdatum: 27 Mai 2019 13:13
Letzte Änderung: 19 Aug 2020 11:07
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