含时椭圆量子台球中共振布居转移的分析
Analysis of resonant population transfer in time-dependent elliptical quantum billiards
摘要：
导出了具有振荡边界的椭圆量子台球瞬时本征态间布居数转移的费米黄金法则。因此，最近观察到的瞬时本征态之间的共振布居转移[F。Lenz等人，New J. Phys.，{ \bf 13}，103019，2011]以及说明当驱动频率与后者的平均差匹配时发生这些转变的经验标准。作为第二个主要结果，提供了判断哪些共振在一定持续时间的相应实验中是可分辨的标准。我们的分析是补充三种不同的驱动法律的数值模拟。相应的共振谱与这两个准则的预测是一致的。
英文摘要：
A Fermi's Golden Rule for population transfer between instantaneous eigenstates of elliptical quantum billiards with oscillating boundaries is derived. Thereby, both the occurrence of the recently observed resonant population transfer between instantaneous eigenstates [F. Lenz et al. New J. Phys., {\bf 13}, 103019, 2011] and the empirical criterion stating that these transitions occur when the driving frequency matches the mean difference of the latter are 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.
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