title: Analysis of resonant population transfer in time-dependent elliptical quantum billiards.
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 [Lenz et al., New J. Phys. 13, 103019 (2011)] 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.
authors: Zentrum für Optische Quantentechnologien, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany.
authors: Jakob
authors: J
authors: Liss
authors: Benno
authors: B
authors: Liebchen
authors: Peter
authors: P
authors: Schmelcher
mesh_terms: D003198:Computer Simulation; D015233:Models, Statistical; D011789:Quantum Theory