Lenz, F. ; Liebchen, B. ; Diakonos, F.K. K ; Schmelcher, P. (2011)
Resonant population transfer in the time-dependent quantum elliptical billiard.
In: New Journal of Physics, 13 (10)
doi: 10.1088/1367-2630/13/10/103019
Artikel, Bibliographie
Kurzbeschreibung (Abstract)
We analyze the quantum dynamics of the time-dependent elliptical billiard using the example of a certain breathing mode. A numerical method for the time propagation of an arbitrary initial state is developed based on a series of transformations, thereby removing the time dependence of the boundary conditions. The time evolution of the energies of different initial states is studied. The maximal and minimal energies that are reached during the time evolution show a series of resonances as a function of the applied driving frequency. At these resonances, higher (or lower) lying states are periodically populated, leading to the observed change in energy. The resonances occur when the driving frequency or a multiple of it matches the mean energetic difference between the two involved states exactly. This picture is confirmed by a few-level Rabilike model with periodic couplings, reproducing the key results of our numerical study. ? IOP Publishing Ltd and Deutsche Physikalische Gesellschaft.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2011 |
| Autor(en): | Lenz, F. ; Liebchen, B. ; Diakonos, F.K. K ; Schmelcher, P. |
| Art des Eintrags: | Bibliographie |
| Titel: | Resonant population transfer in the time-dependent quantum elliptical billiard |
| Sprache: | Englisch |
| Publikationsjahr: | 17 Oktober 2011 |
| Verlag: | IOP Publishing Ltd. |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | New Journal of Physics |
| Jahrgang/Volume einer Zeitschrift: | 13 |
| (Heft-)Nummer: | 10 |
| DOI: | 10.1088/1367-2630/13/10/103019 |
| Kurzbeschreibung (Abstract): | We analyze the quantum dynamics of the time-dependent elliptical billiard using the example of a certain breathing mode. A numerical method for the time propagation of an arbitrary initial state is developed based on a series of transformations, thereby removing the time dependence of the boundary conditions. The time evolution of the energies of different initial states is studied. The maximal and minimal energies that are reached during the time evolution show a series of resonances as a function of the applied driving frequency. At these resonances, higher (or lower) lying states are periodically populated, leading to the observed change in energy. The resonances occur when the driving frequency or a multiple of it matches the mean energetic difference between the two involved states exactly. This picture is confirmed by a few-level Rabilike model with periodic couplings, reproducing the key results of our numerical study. ? IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. |
| 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: | 28 Mai 2019 05:09 |
| Letzte Änderung: | 19 Aug 2020 11:15 |
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