Related Experiment Video
Updated: May 14, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Analysis of resonant population transfer in time-dependent elliptical quantum billiards
Jakob Liss1, Benno Liebchen, Peter Schmelcher
1Zentrum für Optische Quantentechnologien, Universität Hamburg, Luruper Chaussee 149, 22761 Hamburg, Germany.
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.
Related Concept Videos
The de Broglie Wavelength
Conservation of Linear Momentum for a System of Particles
The impulsive force at play during this interaction is of extremely short duration, rendering its impulse negligible. When...
The Quantum-Mechanical Model of an Atom
Poisson's And Laplace's Equation
Atomic Nuclei: Nuclear Relaxation Processes
First Law: Particles in One-dimensional Equilibrium

